Tammy had 3 times as much money as Nick. After Tammy spent
15 of her money and Nick spent
25 of his money, they had a total of $1431 left.
- How much money did Tammy and Nick have altogether at first?
- Nick spent 712 of his remaining money on a sweater. What fraction of his original amount of money did he spend on the sweater?
| |
Tammy |
Nick |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 0.6 u |
- 0.4 u |
|
| After |
2.4 u |
0.6 u |
$1431 |
(a)
Amount that Tammy spent
=
15 x 3 u
= 0.6 u
Amount that Nick spent
=
25 x 1 u
= 0.4 u
Amount that Tammy and Nick spent
= 0.6 u + 0.4 u
= 3 u
3 u = 1431
1 u = 1431 ÷ 3 = 477
Amount that Tammy and Nick had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 477
= $1908
(b)
Amount that Nick spent on the sweater
=
712 x 0.6 u
= 0.35 u
Fraction of Nick's original amount that he spent on a sweater
=
0.351 =
0.35 x 1001 x 100=
35100=
720 Answer(s): (a) $1908; (b)
720 
