Tammy had $400 less than Ian. Ian spent 0.8 of his money and Tammy spent 0.3 of her money. In the end, Ian and Tammy had the same amount of money left. Find the amount of money Tammy had at first.
| |
Tammy |
Ian |
Difference |
| Before |
10 u |
35 u |
25 u |
| Change |
- 1 u |
- 7 u |
|
| After |
7 u |
7 u |
|
0.8 =
45 Fraction of Ian's amount left
= 1 -
45 =
15 0.3 =
310 Fraction of Tammy's amount left
= 1 -
310 =
710 The amount that Ian and Tammy each had in the end is the same. Make the numerators the same. LCM of 1 and 7 is 7.
15 of Ian's amount =
710 of Tammy's amount
735 of Ian's amount =
710 of Tammy's amount
Amount that Tammy had less than Ian
= 35 u - 10 u
= 25 u
25 u = 400
1 u = 400 ÷ 25 = 16
Amount that Tammy had at first
= 10 u
= 10 x 16
= $160
Answer(s): $160
