Adam has green and red stickers in the ratio of 5 : 2.
He has 90 more green stickers than red stickers.
- How many stickers does Adam have?
- If Adam gives away 40 green stickers, what is the new ratio of the number of green stickers to red stickers?
(a)
Number of green stickers = 5 u
Number of red stickers = 2 u
Number of more green stickers than red stickers
= 5 u - 2 u
= 3 u
3 u = 90
1 u = 90 ÷ 3 = 30
Number of stickers that Adam has
= 5 u + 2 u
= 7 u
= 7 x 30
= 210
(b)
Number of green stickers after Adam gives away 40
= 5 u - 40
= 5 x 30 - 40
= 150 - 40
= 110
Number of red stickers
= 2 u
= 2 x 40
= 60
New ratio of the number of green stickers to red stickers
110 : 60
(÷ 10) 11 : 6
Answer(s): (a) 210; (b) 11 : 6