Adam has blue and green stickers in the ratio of 5 : 3.
He has 80 more blue stickers than green stickers.
- How many stickers does Adam have?
- If Adam gives away 50 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 = 80
1 u = 80 ÷ 2 = 40
Number of stickers that Adam has
= 5 u + 3 u
= 8 u
= 8 x 40
= 320
(b)
Number of blue stickers after Adam gives away 50
= 5 u - 50
= 5 x 40 - 50
= 200 - 50
= 150
Number of green stickers
= 3 u
= 3 x 50
= 120
New ratio of the number of blue stickers to green stickers
150 : 120
(÷ 30) 5 : 4
Answer(s): (a) 320; (b) 5 : 4