Question

At school basketball games you can buy 3 sodas and 2 pretzels for $4.80 or you

can buy 1 soda and 1 pretzel for $2.00.

Write system equation that represents the situation:

Solve the system using your graph calculator.

A) soda: $0.20 pretzels: $1.80
B) soda: $0.80 pretzels: $1.20
C) soda: $2.88 pretzels: $1.92
D) soda: $0.50 pretzels: $0.50

Answer 1

B) soda: $0.80 pretzels: $1.20

Explanation:

system of equations:

3s+2p=4.80

1s+1p=2.00

solve:

-2(1s+1p=2.00) = -2s-2p=-4.00

3s+2p=4.80

-2s-2p=-4.00

1s=0.80

3(0.80)+2p=4.80

2.40+2p=4.80

2p=2.40

p=1.20