Adam has green and blue stickers in the ratio of 7 : 5.
He has 40 more green stickers than blue stickers.
- How many stickers does Adam have?
- If Adam gives away 30 green stickers, what is the new ratio of the number of green stickers to blue stickers?
(a)
Number of green stickers = 7 u
Number of blue stickers = 5 u
Number of more green stickers than blue stickers
= 7 u - 5 u
= 2 u
2 u = 40
1 u = 40 ÷ 2 = 20
Number of stickers that Adam has
= 7 u + 5 u
= 12 u
= 12 x 20
= 240
(b)
Number of green stickers after Adam gives away 30
= 7 u - 30
= 7 x 20 - 30
= 140 - 30
= 110
Number of blue stickers
= 5 u
= 5 x 30
= 100
New ratio of the number of green stickers to blue stickers
110 : 100
(÷ 10) 11 : 10
Answer(s): (a) 240; (b) 11 : 10