Adam has blue and green stickers in the ratio of 9 : 4.
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 = 9 u
Number of green stickers = 4 u
Number of more blue stickers than green stickers
= 9 u - 4 u
= 5 u
5 u = 90
1 u = 90 ÷ 5 = 18
Number of stickers that Adam has
= 9 u + 4 u
= 13 u
= 13 x 18
= 234
(b)
Number of blue stickers after Adam gives away 30
= 9 u - 30
= 9 x 18 - 30
= 162 - 30
= 132
Number of green stickers
= 4 u
= 4 x 30
= 72
New ratio of the number of blue stickers to green stickers
132 : 72
(÷ 12) 11 : 6
Answer(s): (a) 234; (b) 11 : 6