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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

Prachi needs between 240240 and 260260 total feet of fence panels. The home improvement store has 2424 short (66-foot) fence panels and 2828 long (88-foot) fence panels in stock. Which of the following combinations of fence panels could she buy?\newlineChoose 11 answer:\newline(A) 66 short fence panels and 2626 long fence panels\newline(B) 88 short fence panels and 2323 long fence panels\newline(C) 2727 short fence panels and 1212 long fence panels\newline(D) 3030 short fence panels and 1010 long fence panels

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Q. Prachi needs between 240240 and 260260 total feet of fence panels. The home improvement store has 2424 short (66-foot) fence panels and 2828 long (88-foot) fence panels in stock. Which of the following combinations of fence panels could she buy?\newlineChoose 11 answer:\newline(A) 66 short fence panels and 2626 long fence panels\newline(B) 88 short fence panels and 2323 long fence panels\newline(C) 2727 short fence panels and 1212 long fence panels\newline(D) 3030 short fence panels and 1010 long fence panels
  1. Calculate total length for Option A: Prachi needs a total length of fence panels between 240240 and 260260 feet. We will calculate the total length for each combination of fence panels given in the options to see which one falls within the required range.
  2. Calculate total length for Option B: Option A suggests 66 short fence panels and 2626 long fence panels. Short panels are 66 feet each and long panels are 88 feet each. Let's calculate the total length for this option.\newlineTotal length for Option A = (6 short panels×6 feet/panel)+(26 long panels×8 feet/panel)(6 \text{ short panels} \times 6 \text{ feet/panel}) + (26 \text{ long panels} \times 8 \text{ feet/panel})\newlineTotal length for Option A = (6×6)+(26×8)(6 \times 6) + (26 \times 8)\newlineTotal length for Option A = 36+20836 + 208\newlineTotal length for Option A = 244244 feet\newlineThis total falls within the required range of 240240 to 260260 feet.
  3. Calculate total length for Option C: Option B suggests 88 short fence panels and 2323 long fence panels. Let's calculate the total length for this option.\newlineTotal length for Option B = (8 short panels×6 feet/panel)+(23 long panels×8 feet/panel)(8 \text{ short panels} \times 6 \text{ feet/panel}) + (23 \text{ long panels} \times 8 \text{ feet/panel})\newlineTotal length for Option B = (8×6)+(23×8)(8 \times 6) + (23 \times 8)\newlineTotal length for Option B = 48+18448 + 184\newlineTotal length for Option B = 232232 feet\newlineThis total does not fall within the required range of 240240 to 260260 feet.
  4. Calculate total length for Option D: Option C suggests 2727 short fence panels and 1212 long fence panels. Let's calculate the total length for this option.\newlineTotal length for Option C = (27 short panels×6 feet/panel)+(12 long panels×8 feet/panel)(27 \text{ short panels} \times 6 \text{ feet/panel}) + (12 \text{ long panels} \times 8 \text{ feet/panel})\newlineTotal length for Option C = (27×6)+(12×8)(27 \times 6) + (12 \times 8)\newlineTotal length for Option C = 162+96162 + 96\newlineTotal length for Option C = 258258 feet\newlineThis total falls within the required range of 240240 to 260260 feet.
  5. Calculate total length for Option D: Option C suggests 2727 short fence panels and 1212 long fence panels. Let's calculate the total length for this option.\newlineTotal length for Option C = (27 short panels×6 feet/panel)+(12 long panels×8 feet/panel)(27 \text{ short panels} \times 6 \text{ feet/panel}) + (12 \text{ long panels} \times 8 \text{ feet/panel})\newlineTotal length for Option C = (27×6)+(12×8)(27 \times 6) + (12 \times 8)\newlineTotal length for Option C = 162+96162 + 96\newlineTotal length for Option C = 258258 feet\newlineThis total falls within the required range of 240240 to 260260 feet.Option D suggests 3030 short fence panels and 1010 long fence panels. Let's calculate the total length for this option.\newlineTotal length for Option D = 121200\newlineTotal length for Option D = 121211\newlineTotal length for Option D = 121222\newlineTotal length for Option D = 260260 feet\newlineThis total is exactly at the upper limit of the required range.

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