Xylia had 6 times as much money as Mark. After Xylia spent
15 of her money and Mark spent
45 of his money, they had a total of $2190 left.
- How much money did Xylia and Mark have altogether at first?
- Mark spent 14 of his remaining money on a jacket. What fraction of his original amount of money did he spend on the jacket?
| |
Xylia |
Mark |
Total |
| Before |
6 u |
1 u |
|
| Change |
- 1.2 u |
- 0.8 u |
|
| After |
4.8 u |
0.2 u |
$2190 |
(a)
Amount that Xylia spent
=
15 x 6 u
= 1.2 u
Amount that Mark spent
=
45 x 1 u
= 0.8 u
Amount that Xylia and Mark spent
= 1.2 u + 0.8 u
= 5 u
5 u = 2190
1 u = 2190 ÷ 5 = 438
Amount that Xylia and Mark had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 438
= $3066
(b)
Amount that Mark spent on the jacket
=
14 x 0.2 u
= 0.05 u
Fraction of Mark's original amount that he spent on a jacket
=
0.051 =
0.05 x 1001 x 100=
5100=
120 Answer(s): (a) $3066; (b)
120 
