Adam has green and red stickers in the ratio of 9 : 4.
He has 40 more green stickers than red stickers.
- How many stickers does Adam have?
- If Adam gives away 20 green stickers, what is the new ratio of the number of green stickers to red stickers?
(a)
Number of green stickers = 9 u
Number of red stickers = 4 u
Number of more green stickers than red stickers
= 9 u - 4 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
Number of stickers that Adam has
= 9 u + 4 u
= 13 u
= 13 x 8
= 104
(b)
Number of green stickers after Adam gives away 20
= 9 u - 20
= 9 x 8 - 20
= 72 - 20
= 52
Number of red stickers
= 4 u
= 4 x 20
= 32
New ratio of the number of green stickers to red stickers
52 : 32
(÷ 4) 13 : 8
Answer(s): (a) 104; (b) 13 : 8