Adam has red and green stickers in the ratio of 8 : 3.
He has 70 more red stickers than green stickers.
- How many stickers does Adam have?
- If Adam gives away 40 red stickers, what is the new ratio of the number of red stickers to green stickers?
(a)
Number of red stickers = 8 u
Number of green stickers = 3 u
Number of more red stickers than green stickers
= 8 u - 3 u
= 5 u
5 u = 70
1 u = 70 ÷ 5 = 14
Number of stickers that Adam has
= 8 u + 3 u
= 11 u
= 11 x 14
= 154
(b)
Number of red stickers after Adam gives away 40
= 8 u - 40
= 8 x 14 - 40
= 112 - 40
= 72
Number of green stickers
= 3 u
= 3 x 40
= 42
New ratio of the number of red stickers to green stickers
72 : 42
(÷ 6) 12 : 7
Answer(s): (a) 154; (b) 12 : 7