Olivia had
34 as much money as Opal. Olivia received another $35 from her friend. In the end, Olivia's money became 1
13 of what Opal had. How much did Olivia have at first?
| |
Olivia |
Opal |
| Before |
3x3 =
9 u |
4x3 =
12 u |
| Change |
+ $35 |
|
| After |
4x4 =
16 u |
3x4 =
12 u |
1
13 =
43The amount that Opal had at first and in the end remains unchanged. Make the amount that Opal had the same. LCM of 3 and 4 is 12.
Amount that Olivia received
= 16 u - 9 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Amount that Olivia had at first
= 9 u
= 9 x 5
= $45
Answer(s): $45
