Question

Solve the problem.

A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 8 slices of pizza and 5 soft drinks for $36.03. The second group bought 6 slices of pizza and 6 soft drinks for $31.32. How much does one slice of pizza cost?

$1.91 per slice of pizza

$3.31 per slice of pizza

$2.41 per slice of pizza

$2.81 per slice of pizza

Answer 1

Let p be the cost of one slice of pizza and s be the cost of one soft drink.
We can set up a pair of simultaneous equations to solve the question as follows:
8p + 5s = 36.03 .............(1)
6p + 6s = 31.32 .............(2)
Can you now solve to find the value of p?

Answer 2

Hint: Multiply both sides of equation (1) by 6 and both sides of equation (2) by 5. Then one equation can be subtracted from the other to eliminate the terms in s and give the value of p after simplification.

Answer 3

A) 8 p + 5 sd = 36.03
B) 6 p + 6 sd = 31.32

Multiply equation B by -8/6
B) -8 p - 8 sd = -41.76

Add that to Equation A and you'll be able to solve for the price of pizza and soft drinks.

Answer 4

ah, $4.97?

Answer 5

nope

Answer 6

4.97 isn't even one of the choices

Answer 7

yeah, but that is what worked out, I'm back checking now

Answer 8

48p + 30s = 216.18 ............(3)
30p + 30 s =156.60 ............(4)
subtract (4) from (3) to eliminate the terms in s.

Answer 9

3.31, found my mistake, thanks!

Answer 10

okay !!

Answer 11

You are correct! Good work :)