Adam has green and blue stickers in the ratio of 7 : 4.
He has 90 more green stickers than blue stickers.
- How many stickers does Adam have?
- If Adam gives away 10 green stickers, what is the new ratio of the number of green stickers to blue stickers?
(a)
Number of green stickers = 7 u
Number of blue stickers = 4 u
Number of more green stickers than blue stickers
= 7 u - 4 u
= 3 u
3 u = 90
1 u = 90 ÷ 3 = 30
Number of stickers that Adam has
= 7 u + 4 u
= 11 u
= 11 x 30
= 330
(b)
Number of green stickers after Adam gives away 10
= 7 u - 10
= 7 x 30 - 10
= 210 - 10
= 200
Number of blue stickers
= 4 u
= 4 x 10
= 120
New ratio of the number of green stickers to blue stickers
200 : 120
(÷ 40) 5 : 3
Answer(s): (a) 330; (b) 5 : 3