Bryan had $50 more than Nora. After Bryan spent 20% of his money and Nora spent 70% of her money, they still had $370 left altogether.
- How much did Bryan have left in the end?
- Express the amount of money Nora had left as a fraction of the amount of money Bryan had in the end. (Give your answer in the simplest form)
|
Bryan |
Nora |
Before |
10 u + 50 |
10 u |
Change |
- 2 u - 10 |
- 7 u |
After |
8 u + 40 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Bryan and Nora had in the end
= 8 u + 40 + 3 u
= 11 u + 40
11 u + 40 = 370
8 u + 3 u = 370 - 40
11 u = 330
1 u = 330 ÷ 11 = 30
Amount that Bryan had in the end
= 8 u + 40
= 8 x 30 + 40
= 240 + 40
= $280
(b)
Amount that the Nora had in the end
= 1 u
= $30
Fraction of the amount that Nora had left as a fraction of the amount that Bryan had in the end
=
30280=
328 Answer(s): (a) $280; (b)
328