A toddler was given 12 boxes of crayons, each of which contained 12 crayons. Within a week, he eventually lost half of the crayons and broke a quarter of the remaining crayons. How many intact crayons did the toddler have at the end of the week?
144 to start
lost 72, 72 left
3/4 of 72 left in the end
3 * 72 / 4 = 3 * 18 = 54
54
To find the number of intact crayons the toddler had at the end of the week, we can follow these steps:
Step 1: Find the total number of crayons the toddler started with. Multiply the number of boxes (12) by the number of crayons in each box (12) to get the total number of crayons: 12 x 12 = 144 crayons.
Step 2: Calculate the number of crayons the toddler lost. Half of the crayons were lost, so we need to find half of the total number of crayons: 144 crayons ÷ 2 = 72 crayons lost.
Step 3: Subtract the number of lost crayons from the total number of crayons to find the number of remaining crayons: 144 crayons - 72 crayons = 72 crayons remaining.
Step 4: Calculate the number of crayons that were broken. A quarter of the remaining crayons were broken, so we need to find a quarter of the remaining crayons: 72 crayons ÷ 4 = 18 crayons broken.
Step 5: Subtract the number of broken crayons from the remaining crayons to find the number of intact crayons: 72 crayons - 18 crayons = 54 intact crayons.
Therefore, at the end of the week, the toddler had 54 intact crayons left.