Jean had $333 less than Mary. Mary spent
37 of her money and Jean spent
23 of her money. In the end, Mary had 3 times as much as Jean. Find the amount of money Mary had at first.
| |
Mary |
Jean |
Comparing Mary
and Jean at first |
$333 more |
|
| Before |
7x3 =
21 u |
3x4 =
12 u |
| Change |
- 3x3 =
- 9 u |
- 2x4 =
- 8 u |
| After |
4x3 =
12 u |
1x4 =
4 u |
Comparing Mary
and Jean in the end |
3x4 =
12 u |
1x4 =
4 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 4 is 12.
Amount that Jean had less than Mary
= 21 u - 12 u
= 9 u
9 u = 333
1 u = 333 ÷ 9 = 37
Amount that Mary had at first
= 21 u
= 21 x 37
= $777
Answer(s): $777
