Adam has blue and red stickers in the ratio of 3 : 1.
He has 50 more blue stickers than red stickers.
- How many stickers does Adam have?
- If Adam gives away 40 blue stickers, what is the new ratio of the number of blue stickers to red stickers?
(a)
Number of blue stickers = 3 u
Number of red stickers = 1 u
Number of more blue stickers than red stickers
= 3 u - 1 u
= 2 u
2 u = 50
1 u = 50 ÷ 2 = 25
Number of stickers that Adam has
= 3 u + 1 u
= 4 u
= 4 x 25
= 100
(b)
Number of blue stickers after Adam gives away 40
= 3 u - 40
= 3 x 25 - 40
= 75 - 40
= 35
Number of red stickers
= 1 u
= 1 x 40
= 25
New ratio of the number of blue stickers to red stickers
35 : 25
(÷ 5) 7 : 5
Answer(s): (a) 100; (b) 7 : 5