Vanessa had 5 times as much money as Valen. After Vanessa spent
15 of her money and Valen spent
25 of his money, they had a total of $2070 left.
- How much money did Vanessa and Valen have altogether at first?
- Valen spent 112 of his remaining money on a shirt. What fraction of his original amount of money did he spend on the shirt?
| |
Vanessa |
Valen |
Total |
| Before |
5 u |
1 u |
|
| Change |
- 1 u |
- 0.4 u |
|
| After |
4 u |
0.6 u |
$2070 |
(a)
Amount that Vanessa spent
=
15 x 5 u
= 1 u
Amount that Valen spent
=
25 x 1 u
= 0.4 u
Amount that Vanessa and Valen spent
= 1 u + 0.4 u
= 4.6 u
4.6 u = 2070
1 u = 2070 ÷ 4.6 = 450
Amount that Vanessa and Valen had altogether at first
= 5 u + 1 u
= 6 u
= 6 x 450
= $2700
(b)
Amount that Valen spent on the shirt
=
112 x 0.6 u
= 0.05 u
Fraction of Valen's original amount that he spent on a shirt
=
0.051 =
0.05 x 1001 x 100=
5100=
120 Answer(s): (a) $2700; (b)
120 
