Adam has blue and red stickers in the ratio of 8 : 3.
He has 80 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 = 3 u
Number of more blue stickers than red stickers
= 8 u - 3 u
= 5 u
5 u = 80
1 u = 80 ÷ 5 = 16
Number of stickers that Adam has
= 8 u + 3 u
= 11 u
= 11 x 16
= 176
(b)
Number of blue stickers after Adam gives away 50
= 8 u - 50
= 8 x 16 - 50
= 128 - 50
= 78
Number of red stickers
= 3 u
= 3 x 50
= 48
New ratio of the number of blue stickers to red stickers
78 : 48
(÷ 6) 13 : 8
Answer(s): (a) 176; (b) 13 : 8