Sarah had 6 times as much money as Tom. After Sarah spent
15 of her money and Tom spent
45 of his money, they had a total of $1845 left.
- How much money did Sarah and Tom have altogether at first?
- Tom spent 25 of his remaining money on a jacket. What fraction of his original amount of money did he spend on the jacket?
| |
Sarah |
Tom |
Total |
| Before |
6 u |
1 u |
|
| Change |
- 1.2 u |
- 0.8 u |
|
| After |
4.8 u |
0.2 u |
$1845 |
(a)
Amount that Sarah spent
=
15 x 6 u
= 1.2 u
Amount that Tom spent
=
45 x 1 u
= 0.8 u
Amount that Sarah and Tom spent
= 1.2 u + 0.8 u
= 5 u
5 u = 1845
1 u = 1845 ÷ 5 = 369
Amount that Sarah and Tom had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 369
= $2583
(b)
Amount that Tom spent on the jacket
=
25 x 0.2 u
= 0.08 u
Fraction of Tom's original amount that he spent on a jacket
=
0.081 =
0.08 x 1001 x 100=
8100=
225 Answer(s): (a) $2583; (b)
225 
