Sabrina had 3 times as much money as Ahmad. After Sabrina spent
15 of her money and Ahmad spent
25 of his money, they had a total of $1500 left.
- How much money did Sabrina and Ahmad have altogether at first?
- Ahmad spent 34 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
| |
Sabrina |
Ahmad |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 0.6 u |
- 0.4 u |
|
| After |
2.4 u |
0.6 u |
$1500 |
(a)
Amount that Sabrina spent
=
15 x 3 u
= 0.6 u
Amount that Ahmad spent
=
25 x 1 u
= 0.4 u
Amount that Sabrina and Ahmad spent
= 0.6 u + 0.4 u
= 3 u
3 u = 1500
1 u = 1500 ÷ 3 = 500
Amount that Sabrina and Ahmad had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 500
= $2000
(b)
Amount that Ahmad spent on the hoodie
=
34 x 0.6 u
= 0.45 u
Fraction of Ahmad's original amount that he spent on a hoodie
=
0.451 =
0.45 x 1001 x 100=
45100=
920 Answer(s): (a) $2000; (b)
920 
