Adam has green and red stickers in the ratio of 8 : 5.
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 = 8 u
Number of red stickers = 5 u
Number of more green stickers than red stickers
= 8 u - 5 u
= 3 u
3 u = 90
1 u = 90 ÷ 3 = 30
Number of stickers that Adam has
= 8 u + 5 u
= 13 u
= 13 x 30
= 390
(b)
Number of green stickers after Adam gives away 40
= 8 u - 40
= 8 x 30 - 40
= 240 - 40
= 200
Number of red stickers
= 5 u
= 5 x 40
= 150
New ratio of the number of green stickers to red stickers
200 : 150
(÷ 50) 4 : 3
Answer(s): (a) 390; (b) 4 : 3