Question

Parker has $15 to order pizza. The plain cheese pizza costs $11.75, and each extra topping costs $1.25.

What is the greatest number of toppings Parker can get with the money he has?

A. 1

B. 2

C. 3

D. 4

Answer 1

B. 2

Explanation:

Given:

Plain Cheese Pizza = $11.75

Each topping = $1.25

let the number of toppings be x

hence x toppings will cost $1.25x

with this, we can construct an inequality to describe our problem:

Total cost of pizza > Cost of Plain Cheese Pizza + Cost of x toppings

substituting the known values above:

15 > 11.75 + 1.25x (subtract 11.75 from both sides)

15 - 11.75 > 1.25x

3.25 > 1.25x (divide both sides by 1.25 and rearrange, remember to flip sign when we swap sides)

x < 3.25 / 1.25

x < 2.6 toppings

since it is not logical to have 0.6 toppings (i.e partial toppings), we round this number down to the nearest whole number which is 2 toppings

Answer 2

Parker can only add 2 extra toppings.

$11.75 + ($1.25 x 2) = $14.25.

Hope this helps! ^v^