Esther had 3 times as much money as Will. After Esther spent
15 of her money and Will spent
25 of his money, they had a total of $1185 left.
- How much money did Esther and Will have altogether at first?
- Will spent 15 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
| |
Esther |
Will |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 0.6 u |
- 0.4 u |
|
| After |
2.4 u |
0.6 u |
$1185 |
(a)
Amount that Esther spent
=
15 x 3 u
= 0.6 u
Amount that Will spent
=
25 x 1 u
= 0.4 u
Amount that Esther and Will spent
= 0.6 u + 0.4 u
= 3 u
3 u = 1185
1 u = 1185 ÷ 3 = 395
Amount that Esther and Will had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 395
= $1580
(b)
Amount that Will spent on the hoodie
=
15 x 0.6 u
= 0.12 u
Fraction of Will's original amount that he spent on a hoodie
=
0.121 =
0.12 x 1001 x 100=
12100=
325 Answer(s): (a) $1580; (b)
325 
