Adam has blue and red stickers in the ratio of 7 : 4.
He has 60 more blue stickers than red 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 red stickers?
(a)
Number of blue stickers = 7 u
Number of red stickers = 4 u
Number of more blue stickers than red stickers
= 7 u - 4 u
= 3 u
3 u = 60
1 u = 60 ÷ 3 = 20
Number of stickers that Adam has
= 7 u + 4 u
= 11 u
= 11 x 20
= 220
(b)
Number of blue stickers after Adam gives away 50
= 7 u - 50
= 7 x 20 - 50
= 140 - 50
= 90
Number of red stickers
= 4 u
= 4 x 50
= 80
New ratio of the number of blue stickers to red stickers
90 : 80
(÷ 10) 9 : 8
Answer(s): (a) 220; (b) 9 : 8