Adam has blue and green stickers in the ratio of 5 : 3.
He has 40 more blue stickers than green stickers.
- How many stickers does Adam have?
- If Adam gives away 30 blue stickers, what is the new ratio of the number of blue stickers to green stickers?
(a)
Number of blue stickers = 5 u
Number of green stickers = 3 u
Number of more blue stickers than green stickers
= 5 u - 3 u
= 2 u
2 u = 40
1 u = 40 ÷ 2 = 20
Number of stickers that Adam has
= 5 u + 3 u
= 8 u
= 8 x 20
= 160
(b)
Number of blue stickers after Adam gives away 30
= 5 u - 30
= 5 x 20 - 30
= 100 - 30
= 70
Number of green stickers
= 3 u
= 3 x 30
= 60
New ratio of the number of blue stickers to green stickers
70 : 60
(÷ 10) 7 : 6
Answer(s): (a) 160; (b) 7 : 6