Adam has blue and green stickers in the ratio of 3 : 1.
He has 90 more blue stickers than green stickers.
- How many stickers does Adam have?
- If Adam gives away 30 blue stickers, what is the new ratio of the number of blue stickers to green stickers?
(a)
Number of blue stickers = 3 u
Number of green stickers = 1 u
Number of more blue stickers than green 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 blue stickers after Adam gives away 30
= 3 u - 30
= 3 x 45 - 30
= 135 - 30
= 105
Number of green stickers
= 1 u
= 1 x 30
= 45
New ratio of the number of blue stickers to green stickers
105 : 45
(÷ 15) 7 : 3
Answer(s): (a) 180; (b) 7 : 3