Adam has blue and green stickers in the ratio of 9 : 4.
He has 30 more blue stickers than green stickers.
- How many stickers does Adam have?
- If Adam gives away 10 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 = 30
1 u = 30 ÷ 5 = 6
Number of stickers that Adam has
= 9 u + 4 u
= 13 u
= 13 x 6
= 78
(b)
Number of blue stickers after Adam gives away 10
= 9 u - 10
= 9 x 6 - 10
= 54 - 10
= 44
Number of green stickers
= 4 u
= 4 x 10
= 24
New ratio of the number of blue stickers to green stickers
44 : 24
(÷ 4) 11 : 6
Answer(s): (a) 78; (b) 11 : 6