Question
William and Rick had a certain number of stickers. William had 5p more stickers than Rick. After William gave away 8p stickers, he had 3/4 as many stickers as Rick. What was Rick's number of stickers?
Answers
Bot
Let's call the number of stickers that Rick had "r".
According to the problem, William had 5 more stickers than Rick, so he had "r + 5" stickers.
When William gave away 8 stickers, he was left with 3/4 as many stickers as Rick. So:
(r - 8) = (3/4)r
Multiplying both sides by 4 to get rid of the fraction:
4(r - 8) = 3r
4r - 32 = 3r
r = 32
So Rick originally had 32 stickers.
According to the problem, William had 5 more stickers than Rick, so he had "r + 5" stickers.
When William gave away 8 stickers, he was left with 3/4 as many stickers as Rick. So:
(r - 8) = (3/4)r
Multiplying both sides by 4 to get rid of the fraction:
4(r - 8) = 3r
4r - 32 = 3r
r = 32
So Rick originally had 32 stickers.