Prachi needs between 240 and 260 total feet of fence panels. The home improvement store has 24 short (6foot) fence panels and 28 long (8foot) fence panels in stock. Which of the following combinations of fence panels could she buy? Choose 1 answer: (A) 6 short fence panels and 26 long fence panels B 8 short fence panels and 23 long fence panels (C) 27 short fence panels and 12 long fence panels (D) 30 short fence panels and 10 long fence panels

Calculate Total Length Option A: Prachi needs a total length of fence that falls between 240 and 260 feet. To solve this problem, we will calculate the total length of fence for each given combination of short and long panels. Short panels are 6 feet long, and long panels are 8 feet long. Calculate Total Length Option B: First, let's calculate the total length for option (A): 6 short fence panels and 26 long fence panels. The total length can be calculated as (6 panels * 6 feet) + (26 panels * 8 feet). Calculate Total Length Option C: For option (A), the calculation is (6 * 6) + (26 * 8) = 36 + 208 = 244 feet. This total falls within the required range of 240 to 260 feet. Calculate Total Length Option D: Next, let's calculate the total length for option B: 8 short fence panels and 23 long fence panels. The total length can be calculated as (8 panels * 6 feet) + (23 panels * 8 feet). For option B, the calculation is (8 * 6) + (23 * 8) = 48 + 184 = 232 feet. This total does not fall within the required range of 240 to 260 feet. Now, let's calculate the total length for option (C): 27 short fence panels and 12 long fence panels. The total length can be calculated as (27 panels * 6 feet) + (12 panels * 8 feet). For option (C), the calculation is (27 * 6) + (12 * 8) = 162 + 96 = 258 feet. This total falls within the required range of 240 to 260 feet. Finally, let's calculate the total length for option (D): 30 short fence panels and 10 long fence panels. The total length can be calculated as (30 panels * 6 feet) + (10 panels * 8 feet). For option (D), the calculation is (30 * 6) + (10 * 8) = 180 + 80 = 260 feet. This total falls within the required range of 240 to 260 feet.

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Prachi needs between $240$ and $260$ total feet of fence panels. The home improvement store has $24$ short ( $6$ foot) fence panels and $28$ long ( $8$ foot) fence panels in stock. Which of the following combinations of fence panels could she buy? $\newline$ Choose $1$ answer: $\newline$ (A) $6$ short fence panels and $26$ long fence panels $\newline$ (B) $8$ short fence panels and $23$ long fence panels $\newline$ (C) $260$ $0$ short fence panels and $260$ $1$ long fence panels $\newline$ (D) $260$ $2$ short fence panels and $260$ $3$ long fence panels

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Q. Prachi needs between

240

and

260

total feet of fence panels. The home improvement store has

24

short (

6

foot) fence panels and

28

long (

8

foot) fence panels in stock. Which of the following combinations of fence panels could she buy?

\newline

Choose

1

answer:

\newline

(A)

6

short fence panels and

26

long fence panels

\newline

(B)

8

short fence panels and

23

long fence panels

\newline

(C)

260

0

short fence panels and

260

1

long fence panels

\newline

(D)

260

2

short fence panels and

260

3

long fence panels

Calculate Total Length Option A: Prachi needs a total length of fence that falls between $240$ and $260$ feet. To solve this problem, we will calculate the total length of fence for each given combination of short and long panels. Short panels are $6$ feet long, and long panels are $8$ feet long.
Calculate Total Length Option B: First, let's calculate the total length for option (A): $6$ short fence panels and $26$ long fence panels. The total length can be calculated as $(6 \text{ panels} \times 6 \text{ feet}) + (26 \text{ panels} \times 8 \text{ feet})$ .
Calculate Total Length Option C: For option (A), the calculation is $6 \times 6$ + $26 \times 8$ = $36 + 208$ = $244$ feet. This total falls within the required range of $240$ to $260$ feet.
Calculate Total Length Option D: Next, let's calculate the total length for option B: $8$ short fence panels and $23$ long fence panels. The total length can be calculated as $(8 \text{ panels} \times 6 \text{ feet}) + (23 \text{ panels} \times 8 \text{ feet})$ .
Calculate Total Length Option D: Next, let's calculate the total length for option B: $8$ short fence panels and $23$ long fence panels. The total length can be calculated as $(8 \text{ panels} \times 6 \text{ feet}) + (23 \text{ panels} \times 8 \text{ feet})$ . For option B, the calculation is $(8 \times 6) + (23 \times 8) = 48 + 184 = 232 \text{ feet}$ . This total does not fall within the required range of $240$ to $260$ feet.
Calculate Total Length Option D: Next, let's calculate the total length for option B: $8$ short fence panels and $23$ long fence panels. The total length can be calculated as $(8 \text{ panels} \times 6 \text{ feet}) + (23 \text{ panels} \times 8 \text{ feet})$ . For option B, the calculation is $(8 \times 6) + (23 \times 8) = 48 + 184 = 232 \text{ feet}$ . This total does not fall within the required range of $240$ to $260$ feet. Now, let's calculate the total length for option (C): $27$ short fence panels and $12$ long fence panels. The total length can be calculated as $(27 \text{ panels} \times 6 \text{ feet}) + (12 \text{ panels} \times 8 \text{ feet})$ .
Calculate Total Length Option D: Next, let's calculate the total length for option B: $8$ short fence panels and $23$ long fence panels. The total length can be calculated as $(8 \text{ panels} \times 6 \text{ feet}) + (23 \text{ panels} \times 8 \text{ feet})$ . For option B, the calculation is $(8 \times 6) + (23 \times 8) = 48 + 184 = 232 \text{ feet}$ . This total does not fall within the required range of $240$ to $260$ feet. Now, let's calculate the total length for option (C): $27$ short fence panels and $12$ long fence panels. The total length can be calculated as $(27 \text{ panels} \times 6 \text{ feet}) + (12 \text{ panels} \times 8 \text{ feet})$ . For option (C), the calculation is $(27 \times 6) + (12 \times 8) = 162 + 96 = 258 \text{ feet}$ . This total falls within the required range of $240$ to $260$ feet.
Calculate Total Length Option D: Next, let's calculate the total length for option B: $8$ short fence panels and $23$ long fence panels. The total length can be calculated as $(8 \text{ panels} \times 6 \text{ feet}) + (23 \text{ panels} \times 8 \text{ feet})$ . For option B, the calculation is $(8 \times 6) + (23 \times 8) = 48 + 184 = 232 \text{ feet}$ . This total does not fall within the required range of $240$ to $260$ feet. Now, let's calculate the total length for option (C): $27$ short fence panels and $12$ long fence panels. The total length can be calculated as $(27 \text{ panels} \times 6 \text{ feet}) + (12 \text{ panels} \times 8 \text{ feet})$ . For option (C), the calculation is $(27 \times 6) + (12 \times 8) = 162 + 96 = 258 \text{ feet}$ . This total falls within the required range of $240$ to $260$ feet. Finally, let's calculate the total length for option (D): $23$ $2$ short fence panels and $23$ $3$ long fence panels. The total length can be calculated as $23$ $4$ .
Calculate Total Length Option D: Next, let's calculate the total length for option B: $8$ short fence panels and $23$ long fence panels. The total length can be calculated as $(8 \text{ panels} \times 6 \text{ feet}) + (23 \text{ panels} \times 8 \text{ feet})$ . For option B, the calculation is $(8 \times 6) + (23 \times 8) = 48 + 184 = 232$ feet. This total does not fall within the required range of $240$ to $260$ feet. Now, let's calculate the total length for option (C): $27$ short fence panels and $12$ long fence panels. The total length can be calculated as $(27 \text{ panels} \times 6 \text{ feet}) + (12 \text{ panels} \times 8 \text{ feet})$ . For option (C), the calculation is $(27 \times 6) + (12 \times 8) = 162 + 96 = 258$ feet. This total falls within the required range of $240$ to $260$ feet. Finally, let's calculate the total length for option (D): $23$ $2$ short fence panels and $23$ $3$ long fence panels. The total length can be calculated as $23$ $4$ . For option (D), the calculation is $23$ $5$ feet. This total falls within the required range of $240$ to $260$ feet.