Esther and Usha had $176. Usha had $42 more than Esther. Esther spent 3 times as much as Usha and was left with
25 as much as Usha. How much did Esther spend more than Usha?
| |
Make p the same
(1)x5 = (3) |
Esther
(1) |
Usha
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Esther
and Usha at first |
|
|
$42 more |
|
$176 |
| Before |
$335 |
$67 |
$109 |
$218 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Esther had at first
= (176 - 42) ÷ 2
= 134 ÷ 2
= $67
Amount that Usha had at first
= 67 + 42
= $109
67 - 3 u = 2 p --- (1)
109 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
335 - 15 u =
10 p --- (3)
(2)
x 2
218 - 2 u =
10 p --- (4)
(4) = (3)
218 - 2 u = 335 - 15 u
15 u - 2 u = 335 - 218
13 u = 117
1 u = 117 ÷ 13 = 9
Amount that Esther spent more than Usha
= 3 u - 1 u
= 2 u
= 2 x 9
= $18
Answer(s): $18
