Adam has green and red stickers in the ratio of 3 : 1.
He has 80 more green stickers than red stickers.
- How many stickers does Adam have?
- If Adam gives away 50 green stickers, what is the new ratio of the number of green stickers to red stickers?
(a)
Number of green stickers = 3 u
Number of red stickers = 1 u
Number of more green stickers than red stickers
= 3 u - 1 u
= 2 u
2 u = 80
1 u = 80 ÷ 2 = 40
Number of stickers that Adam has
= 3 u + 1 u
= 4 u
= 4 x 40
= 160
(b)
Number of green stickers after Adam gives away 50
= 3 u - 50
= 3 x 40 - 50
= 120 - 50
= 70
Number of red stickers
= 1 u
= 1 x 50
= 40
New ratio of the number of green stickers to red stickers
70 : 40
(÷ 10) 7 : 4
Answer(s): (a) 160; (b) 7 : 4