Adam has red and blue stickers in the ratio of 7 : 2.
He has 90 more red stickers than blue stickers.
- How many stickers does Adam have?
- If Adam gives away 60 red stickers, what is the new ratio of the number of red stickers to blue stickers?
(a)
Number of red stickers = 7 u
Number of blue stickers = 2 u
Number of more red stickers than blue stickers
= 7 u - 2 u
= 5 u
5 u = 90
1 u = 90 ÷ 5 = 18
Number of stickers that Adam has
= 7 u + 2 u
= 9 u
= 9 x 18
= 162
(b)
Number of red stickers after Adam gives away 60
= 7 u - 60
= 7 x 18 - 60
= 126 - 60
= 66
Number of blue stickers
= 2 u
= 2 x 60
= 36
New ratio of the number of red stickers to blue stickers
66 : 36
(÷ 6) 11 : 6
Answer(s): (a) 162; (b) 11 : 6