Adam has green and red stickers in the ratio of 3 : 1.
He has 90 more green stickers than red stickers.
- How many stickers does Adam have?
- If Adam gives away 60 green stickers, what is the new ratio of the number of green stickers to red stickers?
(a)
Number of green stickers = 3 u
Number of red stickers = 1 u
Number of more green stickers than red stickers
= 3 u - 1 u
= 2 u
2 u = 90
1 u = 90 ÷ 2 = 45
Number of stickers that Adam has
= 3 u + 1 u
= 4 u
= 4 x 45
= 180
(b)
Number of green stickers after Adam gives away 60
= 3 u - 60
= 3 x 45 - 60
= 135 - 60
= 75
Number of red stickers
= 1 u
= 1 x 60
= 45
New ratio of the number of green stickers to red stickers
75 : 45
(÷ 15) 5 : 3
Answer(s): (a) 180; (b) 5 : 3