Adam has red and green stickers in the ratio of 3 : 1.
He has 60 more red stickers than green stickers.
- How many stickers does Adam have?
- If Adam gives away 20 red stickers, what is the new ratio of the number of red stickers to green stickers?
(a)
Number of red stickers = 3 u
Number of green stickers = 1 u
Number of more red stickers than green stickers
= 3 u - 1 u
= 2 u
2 u = 60
1 u = 60 ÷ 2 = 30
Number of stickers that Adam has
= 3 u + 1 u
= 4 u
= 4 x 30
= 120
(b)
Number of red stickers after Adam gives away 20
= 3 u - 20
= 3 x 30 - 20
= 90 - 20
= 70
Number of green stickers
= 1 u
= 1 x 20
= 30
New ratio of the number of red stickers to green stickers
70 : 30
(÷ 10) 7 : 3
Answer(s): (a) 120; (b) 7 : 3