Xandra had 3 times as much money as Will. After Xandra spent
12 of her money and Will spent
25 of his money, they had a total of $1680 left.
- How much money did Xandra and Will have altogether at first?
- Will spent 34 of his remaining money on a jacket. What fraction of his original amount of money did he spend on the jacket?
| |
Xandra |
Will |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 1.5 u |
- 0.4 u |
|
| After |
1.5 u |
0.6 u |
$1680 |
(a)
Amount that Xandra spent
=
12 x 3 u
= 1.5 u
Amount that Will spent
=
25 x 1 u
= 0.4 u
Amount that Xandra and Will spent
= 1.5 u + 0.4 u
= 2.1 u
2.1 u = 1680
1 u = 1680 ÷ 2.1 = 800
Amount that Xandra and Will had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 800
= $3200
(b)
Amount that Will spent on the jacket
=
34 x 0.6 u
= 0.45 u
Fraction of Will's original amount that he spent on a jacket
=
0.451 =
0.45 x 1001 x 100=
45100=
920 Answer(s): (a) $3200; (b)
920 
