Kathy had 3 times as much money as Tommy. After Kathy spent
12 of her money and Tommy spent
25 of his money, they had a total of $1386 left.
- How much money did Kathy and Tommy have altogether at first?
- Tommy spent 310 of his remaining money on a sweater. What fraction of his original amount of money did he spend on the sweater?
| |
Kathy |
Tommy |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 1.5 u |
- 0.4 u |
|
| After |
1.5 u |
0.6 u |
$1386 |
(a)
Amount that Kathy spent
=
12 x 3 u
= 1.5 u
Amount that Tommy spent
=
25 x 1 u
= 0.4 u
Amount that Kathy and Tommy spent
= 1.5 u + 0.4 u
= 2.1 u
2.1 u = 1386
1 u = 1386 ÷ 2.1 = 660
Amount that Kathy and Tommy had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 660
= $2640
(b)
Amount that Tommy spent on the sweater
=
310 x 0.6 u
= 0.18 u
Fraction of Tommy's original amount that he spent on a sweater
=
0.181 =
0.18 x 1001 x 100=
18100=
950 Answer(s): (a) $2640; (b)
950 
