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Anna wants to celebrate her birthday by eating pizza with her friends. For
$42.50 total, they can buy
p boxes of pizza. Each box of pizza costs
$8.50.
Select the equation that matches this situation.
Choose 1 answer:
(A)
(42.5)/(8.5)=p
(B)
p=8.5*42.5
(C)
42.5 p=8.5

Anna wants to celebrate her birthday by eating pizza with her friends. For $\$ 42.50$ total, they can buy $p$ boxes of pizza. Each box of pizza costs $\$ 8.50$ . $\newline$ Select the equation that matches this situation. $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{42.5}{8.5}=p$ $\newline$ (B) $p=8.5 \cdot 42.5$ $\newline$ (C) $42.5 p=8.5$

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Write a linear inequality: word problems

Full solution

Q. Anna wants to celebrate her birthday by eating pizza with her friends. For

\$ 42.50

total, they can buy

p

boxes of pizza. Each box of pizza costs

\$ 8.50

.

\newline

Select the equation that matches this situation.

\newline

Choose

1

answer:

\newline

(A)

\frac{42.5}{8.5}=p

\newline

(B)

p=8.5 \cdot 42.5

\newline

(C)

42.5 p=8.5

Set Up Equation: We are given the total cost for $p$ boxes of pizza, which is $\$42.50$ . We also know that each box of pizza costs $\$8.50$ . To find the relationship between the number of boxes ( $p$ ) and the total cost, we need to set up an equation that multiplies the cost per box by the number of boxes to equal the total cost. $\newline$ Calculation: Total cost = Cost per box $\times$ Number of boxes $\newline$ $\$42.50 = \$8.50 \times p$
Check Given Options: Now we need to check the given options to see which one matches our equation. $\newline$ Option (A) suggests dividing the total cost by the cost per box to get the number of boxes, which is the correct operation to find $p$ . $\newline$ Option (B) incorrectly multiplies the two costs, which does not make sense in this context. $\newline$ Option (C) incorrectly places the total cost and the number of boxes on the same side of the equation, which does not represent the situation accurately.
Find Correct Equation: Therefore, the correct equation that matches the situation is: $\newline$ rac{42.5}{8.5} = p $\newline$ This is the same as our derived equation $\$42.50 = \$8.50 \times p$ , which can be rearranged to $p = \frac{\$42.50}{\$8.50}$ .

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