Adam has blue and red stickers in the ratio of 8 : 3.
He has 50 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 = 8 u
Number of red stickers = 3 u
Number of more blue stickers than red stickers
= 8 u - 3 u
= 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Number of stickers that Adam has
= 8 u + 3 u
= 11 u
= 11 x 10
= 110
(b)
Number of blue stickers after Adam gives away 30
= 8 u - 30
= 8 x 10 - 30
= 80 - 30
= 50
Number of red stickers
= 3 u
= 3 x 30
= 30
New ratio of the number of blue stickers to red stickers
50 : 30
(÷ 10) 5 : 3
Answer(s): (a) 110; (b) 5 : 3