Adam has blue and red stickers in the ratio of 5 : 3.
He has 80 more blue stickers than red stickers.
- How many stickers does Adam have?
- If Adam gives away 70 blue stickers, what is the new ratio of the number of blue stickers to red stickers?
(a)
Number of blue stickers = 5 u
Number of red stickers = 3 u
Number of more blue stickers than red stickers
= 5 u - 3 u
= 2 u
2 u = 80
1 u = 80 ÷ 2 = 40
Number of stickers that Adam has
= 5 u + 3 u
= 8 u
= 8 x 40
= 320
(b)
Number of blue stickers after Adam gives away 70
= 5 u - 70
= 5 x 40 - 70
= 200 - 70
= 130
Number of red stickers
= 3 u
= 3 x 70
= 120
New ratio of the number of blue stickers to red stickers
130 : 120
(÷ 10) 13 : 12
Answer(s): (a) 320; (b) 13 : 12