Tammy had $435 less than Tom. Tom spent 0.8 of his money and Tammy spent 0.2 of her money. In the end, Tom and Tammy had the same amount of money left. Find the amount of money Tammy had at first.
| |
Tammy |
Tom |
Difference |
| Before |
5 u |
20 u |
15 u |
| Change |
- 1 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.8 =
45 Fraction of Tom's amount left
= 1 -
45 =
15 0.2 =
15 Fraction of Tammy's amount left
= 1 -
15 =
45 The amount that Tom and Tammy each had in the end is the same. Make the numerators the same. LCM of 1 and 4 is 4.
15 of Tom's amount =
45 of Tammy's amount
420 of Tom's amount =
45 of Tammy's amount
Amount that Tammy had less than Tom
= 20 u - 5 u
= 15 u
15 u = 435
1 u = 435 ÷ 15 = 29
Amount that Tammy had at first
= 5 u
= 5 x 29
= $145
Answer(s): $145
