Question

Thor and Rusty bought snacks for a party. Thor bought 4 bags of chips and 3 bottles of soda for $10.52. Rusty bought 3 bags of chips and 2 bottles of soda for $7.61. How much did the bags of chips each cost? How much did the bottles of soda each cost?

Answer 1

Chips= $1.79

Soda= $1.12

Answer 2

chips: $1.79

soda: $1.12

Explanation:

x = chips cost

y = soda cost

4x + 3y = 10.52

3x + 2y = 7.61

i used the elimination method by multiplying the first equation by -2

and the second equation by 3

-8x - 6y = 21.04

9x + 6y = 22.83

x = 1.79

solve for 'y':

3(1.79) + 2y = 7.61

5.37 + 2y = 7.61

2y = 2.24

y = 1.12