Adam has green and red stickers in the ratio of 7 : 3.
He has 80 more green stickers than red stickers.
- How many stickers does Adam have?
- If Adam gives away 70 green stickers, what is the new ratio of the number of green stickers to red stickers?
(a)
Number of green stickers = 7 u
Number of red stickers = 3 u
Number of more green stickers than red stickers
= 7 u - 3 u
= 4 u
4 u = 80
1 u = 80 ÷ 4 = 20
Number of stickers that Adam has
= 7 u + 3 u
= 10 u
= 10 x 20
= 200
(b)
Number of green stickers after Adam gives away 70
= 7 u - 70
= 7 x 20 - 70
= 140 - 70
= 70
Number of red stickers
= 3 u
= 3 x 70
= 60
New ratio of the number of green stickers to red stickers
70 : 60
(÷ 10) 7 : 6
Answer(s): (a) 200; (b) 7 : 6