Adam has green and blue stickers in the ratio of 3 : 1.
He has 30 more green stickers than blue stickers.
- How many stickers does Adam have?
- If Adam gives away 20 green stickers, what is the new ratio of the number of green stickers to blue stickers?
(a)
Number of green stickers = 3 u
Number of blue stickers = 1 u
Number of more green stickers than blue stickers
= 3 u - 1 u
= 2 u
2 u = 30
1 u = 30 ÷ 2 = 15
Number of stickers that Adam has
= 3 u + 1 u
= 4 u
= 4 x 15
= 60
(b)
Number of green stickers after Adam gives away 20
= 3 u - 20
= 3 x 15 - 20
= 45 - 20
= 25
Number of blue stickers
= 1 u
= 1 x 20
= 15
New ratio of the number of green stickers to blue stickers
25 : 15
(÷ 5) 5 : 3
Answer(s): (a) 60; (b) 5 : 3