Anna had $442 more than Penelope. Anna spent
58 of her money and Penelope spent
45 of her money. In the end, Anna had 4 times as much as Penelope. Find the amount of money Penelope had at first.
| |
Anna |
Penelope |
Comparing Anna
and Penelope at first |
$442 more |
|
| Before |
8x4 =
32 u |
5x3 =
15 u |
| Change |
- 5x4 =
- 20 u |
- 4x3 =
- 12 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Anna
and Penelope in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Anna had in the end is repeated. Make the amount that Anna had in the end the same. LCM of 4 and 3 is 12.
Amount that Anna had more than Penelope
= 32 u - 15 u
= 17 u
17 u = 442
1 u = 442 ÷ 17 = 26
Amount that Penelope had at first
= 15 u
= 15 x 26
= $390
Answer(s): $390
