Adam has red and green stickers in the ratio of 7 : 2.
He has 30 more red stickers than green stickers.
- How many stickers does Adam have?
- If Adam gives away 10 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 = 2 u
Number of more red stickers than green stickers
= 7 u - 2 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Number of stickers that Adam has
= 7 u + 2 u
= 9 u
= 9 x 6
= 54
(b)
Number of red stickers after Adam gives away 10
= 7 u - 10
= 7 x 6 - 10
= 42 - 10
= 32
Number of green stickers
= 2 u
= 2 x 10
= 12
New ratio of the number of red stickers to green stickers
32 : 12
(÷ 4) 8 : 3
Answer(s): (a) 54; (b) 8 : 3