Adam has red and blue stickers in the ratio of 9 : 5.
He has 40 more red stickers than blue stickers.
- How many stickers does Adam have?
- If Adam gives away 30 red stickers, what is the new ratio of the number of red stickers to blue stickers?
(a)
Number of red stickers = 9 u
Number of blue stickers = 5 u
Number of more red stickers than blue stickers
= 9 u - 5 u
= 4 u
4 u = 40
1 u = 40 ÷ 4 = 10
Number of stickers that Adam has
= 9 u + 5 u
= 14 u
= 14 x 10
= 140
(b)
Number of red stickers after Adam gives away 30
= 9 u - 30
= 9 x 10 - 30
= 90 - 30
= 60
Number of blue stickers
= 5 u
= 5 x 30
= 50
New ratio of the number of red stickers to blue stickers
60 : 50
(÷ 10) 6 : 5
Answer(s): (a) 140; (b) 6 : 5