Adam has green and blue stickers in the ratio of 7 : 3.
He has 60 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 = 3 u
Number of more green stickers than blue stickers
= 7 u - 3 u
= 4 u
4 u = 60
1 u = 60 ÷ 4 = 15
Number of stickers that Adam has
= 7 u + 3 u
= 10 u
= 10 x 15
= 150
(b)
Number of green stickers after Adam gives away 30
= 7 u - 30
= 7 x 15 - 30
= 105 - 30
= 75
Number of blue stickers
= 3 u
= 3 x 30
= 45
New ratio of the number of green stickers to blue stickers
75 : 45
(÷ 15) 5 : 3
Answer(s): (a) 150; (b) 5 : 3