Jane had 5 times as much money as Tom. After Jane spent
12 of her money and Tom spent
14 of his money, they had a total of $1443 left.
- How much money did Jane and Tom have altogether at first?
- Tom spent 13 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
| |
Jane |
Tom |
Total |
| Before |
5 u |
1 u |
|
| Change |
- 2.5 u |
- 0.25 u |
|
| After |
2.5 u |
0.75 u |
$1443 |
(a)
Amount that Jane spent
=
12 x 5 u
= 2.5 u
Amount that Tom spent
=
14 x 1 u
= 0.25 u
Amount that Jane and Tom spent
= 2.5 u + 0.25 u
= 3.25 u
3.25 u = 1443
1 u = 1443 ÷ 3.25 = 444
Amount that Jane and Tom had altogether at first
= 5 u + 1 u
= 6 u
= 6 x 444
= $2664
(b)
Amount that Tom spent on the hoodie
=
13 x 0.75 u
= 0.25 u
Fraction of Tom's original amount that he spent on a hoodie
=
0.251 =
0.25 x 1001 x 100=
25100=
14 Answer(s): (a) $2664; (b)
14 
