Adam has blue and red stickers in the ratio of 3 : 1.
He has 80 more blue stickers than red stickers.
- How many stickers does Adam have?
- If Adam gives away 60 blue stickers, what is the new ratio of the number of blue stickers to red stickers?
(a)
Number of blue stickers = 3 u
Number of red stickers = 1 u
Number of more blue stickers than red stickers
= 3 u - 1 u
= 2 u
2 u = 80
1 u = 80 ÷ 2 = 40
Number of stickers that Adam has
= 3 u + 1 u
= 4 u
= 4 x 40
= 160
(b)
Number of blue stickers after Adam gives away 60
= 3 u - 60
= 3 x 40 - 60
= 120 - 60
= 60
Number of red stickers
= 1 u
= 1 x 60
= 40
New ratio of the number of blue stickers to red stickers
60 : 40
(÷ 20) 3 : 2
Answer(s): (a) 160; (b) 3 : 2