Question

Tom was having a party and needed to purchase snacks. He bought 12 items total and spent $32 dollars. Bags of chips (x) costs $3.00 each and jars of salsa (y) costs $2.00 each. How many packages of each did he buy

Answer 1

To answer this, you can set up a system of equations to identify how many of each he bought.

Equation 1: x + y = 12

Equation 2: 3x + 2y = 32

Use the elimination method to find that Tom bought 8 bags of chips and 4 jars of salsa. Check on a calculator for confirmation.

Hope that helps. :)

Answer 2

Answer: he bought 8 bags of chips and 4 jars of salsa.

Explanation:

Let x represent the number of bags of chips that he bought.

Let y represent the number of jars of salsa that he bought.

He bought 12 items total. It means that

x + y = 12

Bags of chips costs $3.00 each and jars of salsa costs $2.00 each. The total amount that he spent was $32. It means that

3x + 2y = 32- - - - - - - - - - - 1

Substituting x = 12 - y into equation 1, it becomes

3(12 - y) + 2y = 32

36 - 3y + 2y = 32

- 3y + 2y = 32 - 36

- y = - 4

y = 4

x = 12 - y = 12 - 4

x = 8