(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 = ![\frac{20}{100}*55 = \frac{1100}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B100%7D%2A55%20%3D%20%5Cfrac%7B1100%7D%7B100%7D)
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 = ![\frac{Change}{Old\ value}*100\\](https://tex.z-dn.net/?f=%5Cfrac%7BChange%7D%7BOld%5C%20value%7D%2A100%5C%5C)
![Decrease\ percent=\frac{15}{55}*100\\Decrease\ percent=27.27%](https://tex.z-dn.net/?f=Decrease%5C%20percent%3D%5Cfrac%7B15%7D%7B55%7D%2A100%5C%5CDecrease%5C%20percent%3D27.27%25)
There was a 27.27% decrease in sales today.
Keywords: percentage, decrease
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