Vanessa had $144 less than Mary. Mary spent
38 of her money and Vanessa spent
23 of her money. In the end, Mary had 3 times as much as Vanessa. Find the amount of money Mary had at first.
| |
Mary |
Vanessa |
Comparing Mary
and Vanessa at first |
$144 more |
|
| Before |
8x3 =
24 u |
3x5 =
15 u |
| Change |
- 3x3 =
- 9 u |
- 2x5 =
- 10 u |
| After |
5x3 =
15 u |
1x5 =
5 u |
Comparing Mary
and Vanessa in the end |
3x5 =
15 u |
1x5 =
5 u |
The amount that Mary had in the end is repeated. Make the amount that Mary had in the end the same. LCM of 3 and 5 is 15.
Amount that Vanessa had less than Mary
= 24 u - 15 u
= 9 u
9 u = 144
1 u = 144 ÷ 9 = 16
Amount that Mary had at first
= 24 u
= 24 x 16
= $384
Answer(s): $384
