Adam has blue and green stickers in the ratio of 8 : 3.
He has 90 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 = 8 u
Number of green stickers = 3 u
Number of more blue stickers than green stickers
= 8 u - 3 u
= 5 u
5 u = 90
1 u = 90 ÷ 5 = 18
Number of stickers that Adam has
= 8 u + 3 u
= 11 u
= 11 x 18
= 198
(b)
Number of blue stickers after Adam gives away 60
= 8 u - 60
= 8 x 18 - 60
= 144 - 60
= 84
Number of green stickers
= 3 u
= 3 x 60
= 54
New ratio of the number of blue stickers to green stickers
84 : 54
(÷ 6) 14 : 9
Answer(s): (a) 198; (b) 14 : 9