Andy had $75 more than Gwen. After Andy spent 20% of his money and Gwen spent 70% of her money, they still had $236 left altogether.
- How much did Andy have left in the end?
- Express the amount of money Gwen had left as a fraction of the amount of money Andy had in the end. (Give your answer in the simplest form)
|
Andy |
Gwen |
Before |
10 u + 75 |
10 u |
Change |
- 2 u - 15 |
- 7 u |
After |
8 u + 60 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Andy and Gwen had in the end
= 8 u + 60 + 3 u
= 11 u + 60
11 u + 60 = 236
8 u + 3 u = 236 - 60
11 u = 176
1 u = 176 ÷ 11 = 16
Amount that Andy had in the end
= 8 u + 60
= 8 x 16 + 60
= 128 + 60
= $188
(b)
Amount that the Gwen had in the end
= 1 u
= $16
Fraction of the amount that Gwen had left as a fraction of the amount that Andy had in the end
=
16188=
447 Answer(s): (a) $188; (b)
447