Adam has blue and green stickers in the ratio of 9 : 2.
He has 70 more blue stickers than green stickers.
- How many stickers does Adam have?
- If Adam gives away 60 blue stickers, what is the new ratio of the number of blue stickers to green stickers?
(a)
Number of blue stickers = 9 u
Number of green stickers = 2 u
Number of more blue stickers than green stickers
= 9 u - 2 u
= 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
Number of stickers that Adam has
= 9 u + 2 u
= 11 u
= 11 x 10
= 110
(b)
Number of blue stickers after Adam gives away 60
= 9 u - 60
= 9 x 10 - 60
= 90 - 60
= 30
Number of green stickers
= 2 u
= 2 x 60
= 20
New ratio of the number of blue stickers to green stickers
30 : 20
(÷ 10) 3 : 2
Answer(s): (a) 110; (b) 3 : 2