Linda had 6 times as much money as Elijah. After Linda spent
14 of her money and Elijah spent
25 of his money, they had a total of $1887 left.
- How much money did Linda and Elijah have altogether at first?
- Elijah spent 45 of his remaining money on a skirt. What fraction of his original amount of money did he spend on the skirt?
| |
Linda |
Elijah |
Total |
| Before |
6 u |
1 u |
|
| Change |
- 1.5 u |
- 0.4 u |
|
| After |
4.5 u |
0.6 u |
$1887 |
(a)
Amount that Linda spent
=
14 x 6 u
= 1.5 u
Amount that Elijah spent
=
25 x 1 u
= 0.4 u
Amount that Linda and Elijah spent
= 1.5 u + 0.4 u
= 5.1 u
5.1 u = 1887
1 u = 1887 ÷ 5.1 = 370
Amount that Linda and Elijah had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 370
= $2590
(b)
Amount that Elijah spent on the skirt
=
45 x 0.6 u
= 0.48 u
Fraction of Elijah's original amount that he spent on a skirt
=
0.481 =
0.48 x 1001 x 100=
48100=
1225 Answer(s): (a) $2590; (b)
1225 
