Adam has red and blue stickers in the ratio of 4 : 1.
He has 90 more red stickers than blue stickers.
- How many stickers does Adam have?
- If Adam gives away 20 red stickers, what is the new ratio of the number of red stickers to blue stickers?
(a)
Number of red stickers = 4 u
Number of blue stickers = 1 u
Number of more red stickers than blue stickers
= 4 u - 1 u
= 3 u
3 u = 90
1 u = 90 ÷ 3 = 30
Number of stickers that Adam has
= 4 u + 1 u
= 5 u
= 5 x 30
= 150
(b)
Number of red stickers after Adam gives away 20
= 4 u - 20
= 4 x 30 - 20
= 120 - 20
= 100
Number of blue stickers
= 1 u
= 1 x 20
= 30
New ratio of the number of red stickers to blue stickers
100 : 30
(÷ 10) 10 : 3
Answer(s): (a) 150; (b) 10 : 3