Adam has blue and green stickers in the ratio of 7 : 5.
He has 40 more blue stickers than green stickers.
- How many stickers does Adam have?
- If Adam gives away 20 blue stickers, what is the new ratio of the number of blue stickers to green stickers?
(a)
Number of blue stickers = 7 u
Number of green stickers = 5 u
Number of more blue stickers than green stickers
= 7 u - 5 u
= 2 u
2 u = 40
1 u = 40 ÷ 2 = 20
Number of stickers that Adam has
= 7 u + 5 u
= 12 u
= 12 x 20
= 240
(b)
Number of blue stickers after Adam gives away 20
= 7 u - 20
= 7 x 20 - 20
= 140 - 20
= 120
Number of green stickers
= 5 u
= 5 x 20
= 100
New ratio of the number of blue stickers to green stickers
120 : 100
(÷ 20) 6 : 5
Answer(s): (a) 240; (b) 6 : 5