Question

The Tran family is bringing in 12 packages of buns to the neighborhood picnic. The hamburger buns cost $2.00 per package, and the hot-dog buns cost $1.50 per package. They spent $20 for the buns. Write and solve a system of equations to find the number of each type of bun they purchased.

A) x + y = 12, 2x + 1.5y = 20
B) x + y = 20, 2x + 1.5y = 12
C) x + y = 12, 2x + 1.5y = 12
D) x + y = 20, 2x + 1.5y = 20

Answer 1

To find the number of each type of bun purchased, a system of equations can be set up using the given information. The equations are: x + y = 12 and 2x + 1.5y = 20.

Step-by-step explanation:

To write a system of equations to find the number of each type of bun the Tran family purchased, we can set up the following equations:

Let x be the number of hamburger buns and y be the number of hot-dog buns.

The first equation represents the total number of packages: x + y = 12

The second equation represents the total cost of the buns: 2x + 1.5y = 20

To solve this system of equations, you can use the substitution method or the elimination method.

The correct answer choice is A) x + y = 12, 2x + 1.5y = 20