Adam has red and green stickers in the ratio of 9 : 5.
He has 80 more red stickers than green stickers.
- How many stickers does Adam have?
- If Adam gives away 60 red stickers, what is the new ratio of the number of red stickers to green stickers?
(a)
Number of red stickers = 9 u
Number of green stickers = 5 u
Number of more red stickers than green stickers
= 9 u - 5 u
= 4 u
4 u = 80
1 u = 80 ÷ 4 = 20
Number of stickers that Adam has
= 9 u + 5 u
= 14 u
= 14 x 20
= 280
(b)
Number of red stickers after Adam gives away 60
= 9 u - 60
= 9 x 20 - 60
= 180 - 60
= 120
Number of green stickers
= 5 u
= 5 x 60
= 100
New ratio of the number of red stickers to green stickers
120 : 100
(÷ 20) 6 : 5
Answer(s): (a) 280; (b) 6 : 5