Xandra's salary to Cathy's salary is 2 : 7. If Xandra spends
35 of her salary, she will have $3100 less than Cathy. How much salary does Cathy have?
| |
Xandra |
Cathy |
Comparing Xandra
and Cathy at first |
2x5 =
10 u |
7x5 =
35 u |
Before |
5x2 =
10 u |
|
Change |
- 3x2 =
- 6 u |
|
After |
2x2 =
4 u |
35 u |
Comparing Xandra
and Cathy in the end |
|
$3100 less |
Xandra's salary at first is repeated. Make Xandra's salary at first the same. LCM of 2 and 5 is 10.
Amount that Xandra will have less than Cathy in the end
= 35 u - 4 u
= 31 u
31 u = 3100
1 u = 3100 ÷ 31 = 100
Cathy's salary
= 35 u
= 35 x 100
= $3500
Answer(s): $3500
