Question 22 Answer and Explanation _ACT December 2014 Form 72G Math Section

22. At Gussie’s Pizzeria, Odetta spends $8.75 (before tax) on the purchase of 2 appetizers and 3 slices of pizza. The price of each slice of pizza is p dollars. The price of each appetizer is twice the price of a slice of pizza. Which of the following systems of equations, when solved, gives the price, a dollars, of an appetizer and the price, p dollars, of a slice of pizza at Gussie’s?

F. $\begin{aligned}\begin{cases}2a+3p=8.75\\ a=2p\end{cases}\end{aligned}$

G. $\begin{aligned}\begin{cases}2a+p=8.75\\ 3a=2p\end{cases}\end{aligned}$

H. $\begin{aligned}\begin{cases}2p+a=8.75\\ 3p=2a\end{cases}\end{aligned}$

J. $\begin{aligned}\begin{cases}3a+2p=8.75\\ p=2a\end{cases}\end{aligned}$

K. $\begin{aligned}\begin{cases}3p+a=8.75\\ a=2p\end{cases}\end{aligned}$

Answer and Explanation

Your Answer is

Correct Answer is F

Explanation

Use numbers to represent the relationship shown in the title, and to stand in parallel