A local pizzeria sold 55 pizzas yesterday. (a) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning. (b) Suppose the actual number of pizzas sold today was 40. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.

Respuesta :

(a) The employees must sell 66 pizzas to receive bonus.

(b) There was a 27.27% decrease in sales today.

Step-by-step explanation:

Given,

Pizzas sold yesterday = 55

(a) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus?

Pizzas to be sold = 20% of pizzas sold yesterday

Pizzas to be sold = [tex]\frac{20}{100}*55 = \frac{1100}{100}[/tex]

Pizzas to be sold = 11

Total pizzas to be sold today = Yesterday's + 20% more

Total pizzas to be sold today = 55+11 = 66 pizzas

The employees must sell 66 pizzas to receive bonus.

(b) Suppose the actual number of pizzas sold today was 40. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth.

Old value = 55

New value = 40

Change = New value - Old value

Change = 40 - 55 = -15

The negative sign indicates the decrease in sales.

Decrease percent = [tex]\frac{Change}{Old\ value}*100\\[/tex]

[tex]Decrease\ percent=\frac{15}{55}*100\\Decrease\ percent=27.27%[/tex]

There was a 27.27% decrease in sales today.

Keywords: percentage, decrease

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