Henry had $25 more than Esther. After Henry spent 20% of his money and Esther spent 70% of her money, they still had $372 left altogether.
- How much did Henry have left in the end?
- Express the amount of money Esther had left as a fraction of the amount of money Henry had in the end. (Give your answer in the simplest form)
|
Henry |
Esther |
Before |
10 u + 25 |
10 u |
Change |
- 2 u - 5 |
- 7 u |
After |
8 u + 20 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Henry and Esther had in the end
= 8 u + 20 + 3 u
= 11 u + 20
11 u + 20 = 372
8 u + 3 u = 372 - 20
11 u = 352
1 u = 352 ÷ 11 = 32
Amount that Henry had in the end
= 8 u + 20
= 8 x 32 + 20
= 256 + 20
= $276
(b)
Amount that the Esther had in the end
= 1 u
= $32
Fraction of the amount that Esther had left as a fraction of the amount that Henry had in the end
=
32276=
869 Answer(s): (a) $276; (b)
869