Adam has red and blue stickers in the ratio of 5 : 3.
He has 30 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 = 30
1 u = 30 ÷ 2 = 15
Number of stickers that Adam has
= 5 u + 3 u
= 8 u
= 8 x 15
= 120
(b)
Number of red stickers after Adam gives away 10
= 5 u - 10
= 5 x 15 - 10
= 75 - 10
= 65
Number of blue stickers
= 3 u
= 3 x 10
= 45
New ratio of the number of red stickers to blue stickers
65 : 45
(÷ 5) 13 : 9
Answer(s): (a) 120; (b) 13 : 9