Elyse had $646 less than Penelope. Penelope spent
47 of her money and Elyse spent
23 of her money. In the end, Penelope had 4 times as much as Elyse. Find the amount of money Penelope had at first.
| |
Penelope |
Elyse |
Comparing Penelope
and Elyse at first |
$646 more |
|
| Before |
7x4 =
28 u |
3x3 =
9 u |
| Change |
- 4x4 =
- 16 u |
- 2x3 =
- 6 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Penelope
and Elyse in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Penelope had in the end is repeated. Make the amount that Penelope had in the end the same. LCM of 4 and 3 is 12.
Amount that Elyse had less than Penelope
= 28 u - 9 u
= 19 u
19 u = 646
1 u = 646 ÷ 19 = 34
Amount that Penelope had at first
= 28 u
= 28 x 34
= $952
Answer(s): $952
