Adam has red and blue stickers in the ratio of 5 : 2.
He has 90 more red stickers than blue stickers.
- How many stickers does Adam have?
- If Adam gives away 10 red stickers, what is the new ratio of the number of red stickers to blue stickers?
(a)
Number of red stickers = 5 u
Number of blue stickers = 2 u
Number of more red stickers than blue 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 red stickers after Adam gives away 10
= 5 u - 10
= 5 x 30 - 10
= 150 - 10
= 140
Number of blue stickers
= 2 u
= 2 x 10
= 60
New ratio of the number of red stickers to blue stickers
140 : 60
(÷ 20) 7 : 3
Answer(s): (a) 210; (b) 7 : 3