Yen had 3 times as much money as John. After Yen spent
12 of her money and John spent
25 of his money, they had a total of $1407 left.
- How much money did Yen and John have altogether at first?
- John spent 34 of his remaining money on a blouse. What fraction of his original amount of money did he spend on the blouse?
| |
Yen |
John |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 1.5 u |
- 0.4 u |
|
| After |
1.5 u |
0.6 u |
$1407 |
(a)
Amount that Yen spent
=
12 x 3 u
= 1.5 u
Amount that John spent
=
25 x 1 u
= 0.4 u
Amount that Yen and John spent
= 1.5 u + 0.4 u
= 2.1 u
2.1 u = 1407
1 u = 1407 ÷ 2.1 = 670
Amount that Yen and John had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 670
= $2680
(b)
Amount that John spent on the blouse
=
34 x 0.6 u
= 0.45 u
Fraction of John's original amount that he spent on a blouse
=
0.451 =
0.45 x 1001 x 100=
45100=
920 Answer(s): (a) $2680; (b)
920 
