Opal had $140 less than Olivia. Olivia gave
35 of her money to Opal. Opal then gave 25% of her money to Olivia. In the end, Olivia had $272 less than Opal. How much did Opal have at first?
| |
Olivia |
Opal |
| Comparing Olivia and Opal at first |
140 more |
|
| Before |
5 u |
+ 140 |
5 u |
|
| Change 1 |
- 3 u |
- 84 |
+ 3 u |
+ 84 |
| After 1 |
2 u |
+ 56 |
8 u |
+ 84 |
| Change 2 |
+ 2 u |
+ 21 |
- 2 u |
- 21 |
| After 2 |
4 u |
+ 77 |
6 u |
+ 63 |
35 x 140= 84
140 - 84 = 56
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 84
=
25100 x 84
= 21
84 - 21 = 63
56 + 21 = 77
If Olivia received another $272 in the end, Olivia and Opal would have the same amount of money.
6 u + 63 = 4 u + 77 + 272
6 u - 4 u = 77 + 272 - 63
2 u = 286
1 u = 286 ÷ 2 = 143
Amount that Opal had at first
= 5 u
= 5 x 143
= $715
Answer(s): $715
