Answer :
(a) The pizzeria must sell 66 pizzas for employees to receive the bonus.
(b) There was a 27.27% decrease in the sales of pizzas.
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?
Expected increase = 20% from yesterday
[tex]Expected\ increase=\frac{20}{100}*55\\\\Expected\ increase=\frac{1100}{100}=11[/tex]
Total pizzas to be sold = Pizzas sold yesterday + expected increase
Total pizzas to be sold = 55+11 = 66
The pizzeria must sell 66 pizzas for employees to receive the 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
Difference = New value - Old value
Difference = 40 - 55 = -15
The negative sign indicates that it is a decrease.
Percent decrease = [tex]\frac{Difference}{Old\ value}*100[/tex]
[tex]Percent\ decrease=\frac{15}{55}*100 = \frac{1500}{55}\\Percent\ decrease= 27.27\%[/tex]
There was a 27.27% decrease in the sales of pizzas.
Keywords: percentage, subtraction
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