Adam has blue and red stickers in the ratio of 8 : 5.
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 = 8 u
Number of red stickers = 5 u
Number of more blue stickers than red stickers
= 8 u - 5 u
= 3 u
3 u = 60
1 u = 60 ÷ 3 = 20
Number of stickers that Adam has
= 8 u + 5 u
= 13 u
= 13 x 20
= 260
(b)
Number of blue stickers after Adam gives away 50
= 8 u - 50
= 8 x 20 - 50
= 160 - 50
= 110
Number of red stickers
= 5 u
= 5 x 50
= 100
New ratio of the number of blue stickers to red stickers
110 : 100
(÷ 10) 11 : 10
Answer(s): (a) 260; (b) 11 : 10