Question

A concession stand at a baseball game sells hot dogs and boxes of popcorn. Justin buys a total of 9 snacks. The number of popcorn boxes he buys is three less than twice as many hot dogs. Which system of equations models this situation if he bought ℎ hot dogs and boxes of popcorn?

A) ℎ = 2ℎ - 3
ℎ + = 9
B) ℎ = 3 - 2ℎ
= 9 - ℎ
C) ℎ = 3 - 2ℎ
ℎ = 9 - 3ℎ
D) ℎ = 2ℎ - 3
= 9 + ℎ

Answer 1

To model the situation in a system of equations, we can let h represent the number of hot dogs bought and p represent the number of popcorn boxes bought. The system of equations that models this situation is: h + p = 9 and p = 2h - 3.

Step-by-step explanation:

To model the situation in a system of equations, we can let h represent the number of hot dogs bought and p represent the number of popcorn boxes bought.

From the given information, we know that the number of popcorn boxes Justin buys is three less than twice as many hot dogs:
p = 2h - 3

We also know that Justin buys a total of 9 snacks, so the total number of snacks bought is the sum of the hot dogs and popcorn boxes:
h + p = 9

The system of equations that models this situation is:

h + p = 9

p = 2h - 3