Vanessa had 3 times as much money as Tim. After Vanessa spent
14 of her money and Tim spent
25 of his money, they had a total of $1596 left.
- How much money did Vanessa and Tim have altogether at first?
- Tim spent 45 of his remaining money on a jacket. What fraction of his original amount of money did he spend on the jacket?
| |
Vanessa |
Tim |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 0.75 u |
- 0.4 u |
|
| After |
2.25 u |
0.6 u |
$1596 |
(a)
Amount that Vanessa spent
=
14 x 3 u
= 0.75 u
Amount that Tim spent
=
25 x 1 u
= 0.4 u
Amount that Vanessa and Tim spent
= 0.75 u + 0.4 u
= 2.85 u
2.85 u = 1596
1 u = 1596 ÷ 2.85 = 560
Amount that Vanessa and Tim had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 560
= $2240
(b)
Amount that Tim spent on the jacket
=
45 x 0.6 u
= 0.48 u
Fraction of Tim's original amount that he spent on a jacket
=
0.481 =
0.48 x 1001 x 100=
48100=
1225 Answer(s): (a) $2240; (b)
1225 
