Yen had 3 times as much money as Dylan. After Yen spent
13 of her money and Dylan spent
14 of his money, they had a total of $1177 left.
- How much money did Yen and Dylan have altogether at first?
- Dylan spent 15 of his remaining money on a sweater. What fraction of his original amount of money did he spend on the sweater?
| |
Yen |
Dylan |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 1 u |
- 0.25 u |
|
| After |
2 u |
0.75 u |
$1177 |
(a)
Amount that Yen spent
=
13 x 3 u
= 1 u
Amount that Dylan spent
=
14 x 1 u
= 0.25 u
Amount that Yen and Dylan spent
= 1 u + 0.25 u
= 2.75 u
2.75 u = 1177
1 u = 1177 ÷ 2.75 = 428
Amount that Yen and Dylan had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 428
= $1712
(b)
Amount that Dylan spent on the sweater
=
15 x 0.75 u
= 0.15 u
Fraction of Dylan's original amount that he spent on a sweater
=
0.151 =
0.15 x 1001 x 100=
15100=
320 Answer(s): (a) $1712; (b)
320 
