Penelope and Erika had $212. Erika had $2 more than Penelope. Penelope spent 4 times as much as Erika and was left with
35 as much as Erika. How much did Penelope spend more than Erika?
| |
Make p the same
(1)x5 = (3) |
Penelope
(1) |
Erika
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Penelope
and Erika at first |
|
|
$2 more |
|
$212 |
| Before |
$525 |
$105 |
$107 |
$321 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Penelope had at first
= (212 - 2) ÷ 2
= 210 ÷ 2
= $105
Amount that Erika had at first
= 105 + 2
= $107
105 - 4 u = 3 p --- (1)
107 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
525 - 20 u =
15 p --- (3)
(2)
x 3
321 - 3 u =
15 p --- (4)
(4) = (3)
321 - 3 u = 525 - 20 u
20 u - 3 u = 525 - 321
17 u = 204
1 u = 204 ÷ 17 = 12
Amount that Penelope spent more than Erika
= 4 u - 1 u
= 3 u
= 3 x 12
= $36
Answer(s): $36
