Adam has blue and green stickers in the ratio of 9 : 5.
He has 60 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 = 9 u
Number of green stickers = 5 u
Number of more blue stickers than green stickers
= 9 u - 5 u
= 4 u
4 u = 60
1 u = 60 ÷ 4 = 15
Number of stickers that Adam has
= 9 u + 5 u
= 14 u
= 14 x 15
= 210
(b)
Number of blue stickers after Adam gives away 30
= 9 u - 30
= 9 x 15 - 30
= 135 - 30
= 105
Number of green stickers
= 5 u
= 5 x 30
= 75
New ratio of the number of blue stickers to green stickers
105 : 75
(÷ 15) 7 : 5
Answer(s): (a) 210; (b) 7 : 5