Adam has red and green stickers in the ratio of 3 : 1.
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 = 3 u
Number of green stickers = 1 u
Number of more red stickers than green stickers
= 3 u - 1 u
= 2 u
2 u = 70
1 u = 70 ÷ 2 = 35
Number of stickers that Adam has
= 3 u + 1 u
= 4 u
= 4 x 35
= 140
(b)
Number of red stickers after Adam gives away 40
= 3 u - 40
= 3 x 35 - 40
= 105 - 40
= 65
Number of green stickers
= 1 u
= 1 x 40
= 35
New ratio of the number of red stickers to green stickers
65 : 35
(÷ 5) 13 : 7
Answer(s): (a) 140; (b) 13 : 7