Tammy had $315 less than Archie. Archie spent 0.6 of his money and Tammy spent 0.2 of her money. In the end, Archie and Tammy had the same amount of money left. Find the amount of money Tammy had at first.
| |
Tammy |
Archie |
Difference |
| Before |
5 u |
10 u |
5 u |
| Change |
- 2 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.6 =
35 Fraction of Archie's amount left
= 1 -
35 =
25 0.2 =
15 Fraction of Tammy's amount left
= 1 -
15 =
45 The amount that Archie and Tammy each had in the end is the same. Make the numerators the same. LCM of 2 and 4 is 4.
25 of Archie's amount =
45 of Tammy's amount
410 of Archie's amount =
45 of Tammy's amount
Amount that Tammy had less than Archie
= 10 u - 5 u
= 5 u
5 u = 315
1 u = 315 ÷ 5 = 63
Amount that Tammy had at first
= 5 u
= 5 x 63
= $315
Answer(s): $315
