Wendy had $500 less than Tom. Tom spent 0.8 of his money and Wendy spent 0.3 of her money. In the end, Tom and Wendy had the same amount of money left. Find the amount of money Wendy had at first.
| |
Wendy |
Tom |
Difference |
| Before |
10 u |
35 u |
25 u |
| Change |
- 1 u |
- 7 u |
|
| After |
7 u |
7 u |
|
0.8 =
45 Fraction of Tom's amount left
= 1 -
45 =
15 0.3 =
310 Fraction of Wendy's amount left
= 1 -
310 =
710 The amount that Tom and Wendy each had in the end is the same. Make the numerators the same. LCM of 1 and 7 is 7.
15 of Tom's amount =
710 of Wendy's amount
735 of Tom's amount =
710 of Wendy's amount
Amount that Wendy had less than Tom
= 35 u - 10 u
= 25 u
25 u = 500
1 u = 500 ÷ 25 = 20
Amount that Wendy had at first
= 10 u
= 10 x 20
= $200
Answer(s): $200
