Adam has red and green stickers in the ratio of 7 : 4.
He has 30 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 = 7 u
Number of green stickers = 4 u
Number of more red stickers than green stickers
= 7 u - 4 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Number of stickers that Adam has
= 7 u + 4 u
= 11 u
= 11 x 10
= 110
(b)
Number of red stickers after Adam gives away 20
= 7 u - 20
= 7 x 10 - 20
= 70 - 20
= 50
Number of green stickers
= 4 u
= 4 x 20
= 40
New ratio of the number of red stickers to green stickers
50 : 40
(÷ 10) 5 : 4
Answer(s): (a) 110; (b) 5 : 4