Adam has blue and green stickers in the ratio of 9 : 5.
He has 80 more blue stickers than green stickers.
- How many stickers does Adam have?
- If Adam gives away 40 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 = 5 u
Number of more blue stickers than green stickers
= 9 u - 5 u
= 4 u
4 u = 80
1 u = 80 ÷ 4 = 20
Number of stickers that Adam has
= 9 u + 5 u
= 14 u
= 14 x 20
= 280
(b)
Number of blue stickers after Adam gives away 40
= 9 u - 40
= 9 x 20 - 40
= 180 - 40
= 140
Number of green stickers
= 5 u
= 5 x 40
= 100
New ratio of the number of blue stickers to green stickers
140 : 100
(÷ 20) 7 : 5
Answer(s): (a) 280; (b) 7 : 5