Tammy had $455 less than Ahmad. Ahmad spent 0.6 of his money and Tammy spent 0.4 of her money. In the end, Ahmad and Tammy had the same amount of money left. Find the amount of money Tammy had at first.
| |
Tammy |
Ahmad |
Difference |
| Before |
10 u |
15 u |
5 u |
| Change |
- 2 u |
- 3 u |
|
| After |
6 u |
6 u |
|
0.6 =
35 Fraction of Ahmad's amount left
= 1 -
35 =
25 0.4 =
25 Fraction of Tammy's amount left
= 1 -
25 =
35 The amount that Ahmad and Tammy each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
25 of Ahmad's amount =
35 of Tammy's amount
615 of Ahmad's amount =
610 of Tammy's amount
Amount that Tammy had less than Ahmad
= 15 u - 10 u
= 5 u
5 u = 455
1 u = 455 ÷ 5 = 91
Amount that Tammy had at first
= 10 u
= 10 x 91
= $910
Answer(s): $910
