Adam has blue and red stickers in the ratio of 4 : 1.
He has 60 more blue stickers than red 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 red stickers?
(a)
Number of blue stickers = 4 u
Number of red stickers = 1 u
Number of more blue stickers than red stickers
= 4 u - 1 u
= 3 u
3 u = 60
1 u = 60 ÷ 3 = 20
Number of stickers that Adam has
= 4 u + 1 u
= 5 u
= 5 x 20
= 100
(b)
Number of blue stickers after Adam gives away 30
= 4 u - 30
= 4 x 20 - 30
= 80 - 30
= 50
Number of red stickers
= 1 u
= 1 x 30
= 20
New ratio of the number of blue stickers to red stickers
50 : 20
(÷ 10) 5 : 2
Answer(s): (a) 100; (b) 5 : 2