Olivia's salary to Gem's salary is 3 : 8. If Olivia spends
34 of her salary, she will have $290 less than Gem. How much salary does Gem have?
| |
Olivia |
Gem |
Comparing Olivia
and Gem at first |
3x4 =
12 u |
8x4 =
32 u |
Before |
4x3 =
12 u |
|
Change |
- 3x3 =
- 9 u |
|
After |
1x3 =
3 u |
32 u |
Comparing Olivia
and Gem in the end |
|
$290 less |
Olivia's salary at first is repeated. Make Olivia's salary at first the same. LCM of 3 and 4 is 12.
Amount that Olivia will have less than Gem in the end
= 32 u - 3 u
= 29 u
29 u = 290
1 u = 290 ÷ 29 = 10
Gem's salary
= 32 u
= 32 x 10
= $320
Answer(s): $320
