Yen had 3 times as much money as Nick. After Yen spent
13 of her money and Nick spent
45 of his money, they had a total of $1573 left.
- How much money did Yen and Nick have altogether at first?
- Nick spent 35 of his remaining money on a shirt. What fraction of his original amount of money did he spend on the shirt?
| |
Yen |
Nick |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 1 u |
- 0.8 u |
|
| After |
2 u |
0.2 u |
$1573 |
(a)
Amount that Yen spent
=
13 x 3 u
= 1 u
Amount that Nick spent
=
45 x 1 u
= 0.8 u
Amount that Yen and Nick spent
= 1 u + 0.8 u
= 2.2 u
2.2 u = 1573
1 u = 1573 ÷ 2.2 = 715
Amount that Yen and Nick had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 715
= $2860
(b)
Amount that Nick spent on the shirt
=
35 x 0.2 u
= 0.12 u
Fraction of Nick's original amount that he spent on a shirt
=
0.121 =
0.12 x 1001 x 100=
12100=
325 Answer(s): (a) $2860; (b)
325 
