Question

A vendor sells pizza and soft drinks.A customer buys 8 slices of pizza and 6 drinks for$ 39.50.Another customer buys 5 slices of pizza and 7 drinks for $30.44. find the cost of a slice of pizza​

Answer 1

Answer:

$3.61

Step-by-step explanation:

let p represent pizza and d represent drink, then

8p + 6d = 39.5 → (1)

5p + 7d = 30.44 → (2)

Multiplying (1) by 7 and (2) by - 6 and adding will eliminate d

56p + 42d = 276.5 → (3)

- 30p - 42d = - 182.64 → (4)

Add (3) and (4) term by term

(56p - 30p) + (42d- 42d) = (276.5 - 182.64), that is

26p = 93.86 ( divide both sides by 26 )

p = 3.61

That is a slice of pizza costs $3.61