Adam has red and blue stickers in the ratio of 5 : 3.
He has 40 more red stickers than blue stickers.
- How many stickers does Adam have?
- If Adam gives away 10 red stickers, what is the new ratio of the number of red stickers to blue stickers?
(a)
Number of red stickers = 5 u
Number of blue stickers = 3 u
Number of more red stickers than blue stickers
= 5 u - 3 u
= 2 u
2 u = 40
1 u = 40 ÷ 2 = 20
Number of stickers that Adam has
= 5 u + 3 u
= 8 u
= 8 x 20
= 160
(b)
Number of red stickers after Adam gives away 10
= 5 u - 10
= 5 x 20 - 10
= 100 - 10
= 90
Number of blue stickers
= 3 u
= 3 x 10
= 60
New ratio of the number of red stickers to blue stickers
90 : 60
(÷ 30) 3 : 2
Answer(s): (a) 160; (b) 3 : 2