Opal had $195 less than Victoria. Victoria spent
27 of her money and Opal spent
23 of her money. In the end, Victoria had 4 times as much as Opal. Find the amount of money Victoria had at first.
|
Victoria |
Opal |
Comparing Victoria and Opal at first |
$195 more |
|
Before |
7x4 = 28 u |
3x5 = 15 u |
Change |
- 2x4 = - 8 u |
- 2x5 = - 10 u |
After |
5x4 = 20 u |
1x5 = 5 u |
Comparing Victoria and Opal in the end |
4x5 = 20 u |
1x5 = 5 u |
The amount that Victoria had in the end is repeated. Make the amount that Victoria had in the end the same. LCM of 4 and 5 is 20.
Amount that Opal had less than Victoria
= 28 u - 15 u
= 13 u
13 u = 195
1 u = 195 ÷ 13 = 15
Amount that Victoria had at first
= 28 u
= 28 x 15
= $420
Answer(s): $420