Question

the soccer teams sells pizza and drinks during football games to raise money for their club . 50 slices of pizza and 100 drinks for $275. 100 slices of pizza and 60 drinks will sell for $270. How much does each slice of pizza sell for ?

Answer 1

$1.5

Explanation:

From the given problem, we would set up two equations to solve for the cost of each slice of pizza;

Let the cost of a slice of pizza = P

Let the cost of a drink = D

50 slices of pizza and 100 drinks for $275

50p + 100D = 275 ----- i

100 slices of pizza and 60 drinks will sell for $270

100p + 60D = 270 ----- ii

The two equations:

50p + 100D = 275 ----- i

100p + 60D = 270 ----- ii

Multiply equation i by 3 and equation ii by 5

150p + 300D = 825 ----iii

500p + 300D = 1350 ---- iv

Now,

Subtract iii from iv;

350p = 525

p = $1.5