Answer:
1. (a) 90 pizzas
(b) The percentage decrease in the number of pizzas sold is approximately 15.4%
2. (a) 8 rooms
(c) 7 rooms
Step-by-step explanation:
(a) The number of pizzas sold yesterday = 75 pizzas
The percentage increase in the number of pizzas sold for which the owner promises a bonus = 20%
Therefore, the percentage of pizzas the pizzeria must sell for employees to receive a bonus = 100% + 20% = 120% of the number of pizzas sold the previous day
Therefore;
The number of pizzas the pizzeria must sell = Required percentage/100 × (Specified number of pizzas)
The number of pizzas the pizzeria must sell = 120/100 × 75 = 90 pizzas
(b) Given that the actual number of pizzas sold = 66 pizzas
Therefore, the change in the number of pizzas sold = 78 - 66 = 12
Which shows that the decrease in the number of pizzas sold = 12
The percentage decrease in the number of pizzas sold = 12/78 × 100 ≈ 15.4%
2. (a) The cost of cleaning the carpet = $25 per room
Therefore, the total cost of cleaning x rooms is y = x × 25
The equation that represents the total cost is y = x × 25
(b) Whereby the amount the hotel is paying the cleaning company $200, the number of rooms the cleaning company is to clean is given as follows;
200 = x × 25
∴ x = 200/25 = 8
The number of rooms the hotel can pay the cleaning company to clean for $200 = x = 8 rooms
(c), Whereby the hotel is giving a $25 tip out of the $200, to the carpet cleaners, we have;
The total amount remaining for the hotel to pay for the cleaning of the rooms is $200 - $25 = $175
The number of rooms the hotel can get cleaned at $175 will clean is therefore, given as follows;
175 = x × 25
x = 175/25 = 7
The number of rooms the hotel can get cleaned at $175 will clean = x = 7 rooms
The number of rooms the hotel can get cleaned at $200 including tipping of the cleaners = 7 rooms.
