Erika had 6 times as much money as Will. After Erika spent
15 of her money and Will spent
35 of his money, they had a total of $1118 left.
- How much money did Erika and Will have altogether at first?
- Will spent 310 of his remaining money on a sweater. What fraction of his original amount of money did he spend on the sweater?
| |
Erika |
Will |
Total |
| Before |
6 u |
1 u |
|
| Change |
- 1.2 u |
- 0.6 u |
|
| After |
4.8 u |
0.4 u |
$1118 |
(a)
Amount that Erika spent
=
15 x 6 u
= 1.2 u
Amount that Will spent
=
35 x 1 u
= 0.6 u
Amount that Erika and Will spent
= 1.2 u + 0.6 u
= 5.2 u
5.2 u = 1118
1 u = 1118 ÷ 5.2 = 215
Amount that Erika and Will had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 215
= $1505
(b)
Amount that Will spent on the sweater
=
310 x 0.4 u
= 0.12 u
Fraction of Will's original amount that he spent on a sweater
=
0.121 =
0.12 x 1001 x 100=
12100=
325 Answer(s): (a) $1505; (b)
325 
