Question

jim ordered a sports drink and three slices of pizza for $8.50. His friend ordered two sports drink and two slices of pizza for $8.00. applying system of equations

Answer 1

• drink cost: $1.75
• slice of pizza cost: $2.25

Explanation:

Let d and p represent the costs of a drink and a pizza slice, respectively. The two orders have a value ...

d + 3p = 8.50

2d + 2p = 8.00

Subtracting the second equation from twice the first gives ...

2(d +3p) -(2d +2p) = 2(8.50) -(8.00)

4p = 9.00 . . . . . simplify

p = 2.25 . . . . . . divide by 4

Solving the first equation for d and putting in the value, we have

d = 8.50 -3p = 8.50 -3·2.25 = 8.50 -6.75

d = 1.75

The cost of a drink is $1.75; the cost of a pizza slice is $2.25.