Adam has red and green stickers in the ratio of 7 : 5.
He has 60 more red stickers than green stickers.
- How many stickers does Adam have?
- If Adam gives away 30 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 = 5 u
Number of more red stickers than green stickers
= 7 u - 5 u
= 2 u
2 u = 60
1 u = 60 ÷ 2 = 30
Number of stickers that Adam has
= 7 u + 5 u
= 12 u
= 12 x 30
= 360
(b)
Number of red stickers after Adam gives away 30
= 7 u - 30
= 7 x 30 - 30
= 210 - 30
= 180
Number of green stickers
= 5 u
= 5 x 30
= 150
New ratio of the number of red stickers to green stickers
180 : 150
(÷ 30) 6 : 5
Answer(s): (a) 360; (b) 6 : 5