Amount spent by the wife is $70
Step-by-step explanation:
Given:
the total amount = $200
Amount spent on Lunch = $15.00
They buy three items at $20.00 each
The wife spends twice what her husband spends
They return home with $20.00 cash.
To Find:
Amount spent by the wife = ?
Solution:
Initially after spending $15.00 on lunch they balance cash with them will be
200 - 15.00 = $185
Then they are buy 3 items each of which costs $20.00
So the balance after buying the 3 items will be
= 200 - 3(20)
= 185- 60.00
= $125
Now the wife is spending twice what her husband spends
so let the amount spent be the husband be x then the amount spent by the wife will be 2x.
Now after spending 2x+x amount they are left with $20.00
that is
125 -2x+x = 20
125 -3x = 20
125 -20 = 3x
105 = 3x
[tex]x = \frac{105}{3}[/tex]
x = 35
So the wife will be spending 2(35) = $70
