Question

Harry owns a factory that makes plastic toys. Each toy is tested. If the toy is perfect, it is put into a box. The boxes are then put into cartons. Each carton holds 36 boxes. The factory makes 500 toys an hour. 2% of these toys are not perfect. Toys are made for hours each day in the factory. How many cartons are needed each day? (5 marks)

Answer 1

Harry's factory will need 109 cartons each day to store the perfect toys produced in 8 hours of operation.

Step-by-step explanation:

To find out how many cartons are needed each day, we first need to calculate how many perfect toys are produced hourly, then daily, and finally determine how many cartons are required to hold those toys. Here's the step-by-step explanation:

First, calculate the number of perfect toys produced each hour by considering that 2% of the toys are imperfect. Since the factory makes 500 toys an hour, the number of imperfect toys per hour is 2% of 500, which equals 10. Therefore, the number of perfect toys is 500 - 10 = 490.

Since the toys are produced 8 hours a day, we multiply the number of perfect toys per hour by the number of hours worked in a day: 490 toys/hour * 8 hours = 3920 perfect toys per day.

Since each carton holds 36 boxes, and each box holds one toy, we need to divide the total number of perfect toys by the number of toys per carton: 3920 toys / 36 toys/carton = 108.89 cartons. As we cannot have a fraction of a carton, we round up to the next whole number, which means Harry's factory requires 109 cartons each day.

Answer 2

approximately 14 each hour

Step-by-step explanation:

500/100 = 5 = 1% of 500

2% of 500 = 10

500 - 10 = 490

490/36 = 13.6 or about 14

multiply 14 by the number of hours each day and you'll get the final answer