Question

A local pizzeria sold 55 pizza yesterday.

(A) the owner offers the employee a bonus if the number of pizza sold increased by 20% today. How many pizzas make a pizzeria sell for employees to receive a bonus? Explain your reasoning.

(B) suppose the actual number of pieces for today was 40. Describe the number of pizzas sold as a percent increase or decrease? Round to the nearest hundred. Show your work.

Answer 1

A)66 B)27.273%

Explanation:

Given

Number of pizzas sold yesterday ,m=55

20% increase in pizzas sold from yesterday will get the employee a bonus

So number of pizzas to be sold today for the employee to get a promotion

`=m+m*(20)/(100) \\=m+m*(1)/(5) \\=(6)/(5) m\\=(6)/(5) * 55\\=6* 11\\=66`

Therefore 66 pizzas need to be sold today for the employee to get a bonus

if the number of pizzas sold today, n=40

⇒ Change= n-m= 40-55= -15

Negative sign indicates decrease in pizzas sold

Percentage change
`=(15)/(55) *100=27.272727.....`

=27.273%