Tim was given an inheritance after his grandparents passed away. He put 1/3 of i
ID: 3115444 • Letter: T
Question
Tim was given an inheritance after his grandparents passed away. He put 1/3 of it into savings. From the remaining he spent 1/4 on a car and 1/8 on a Big Screen TV. After he bought the car and TV, he spent 7/10 of the remaining on a vacation to Hawaii. What was left he gave to the church in memory of his grandparents. What fraction of the inheritance was given to the church? What fraction of the inheritance was spent on his vacation? What fraction of the inheritance was spent on the TV? What fraction of the inheritance was spent on the car?
Explanation / Answer
Let the total amount = x
After saving the remaining amount = x - 1/3x = 2x/3
The remaining amount after spending on car and tv = 2x/3 - (2x/3 * 1/4 + 2x/3 * 1/8) = 2x/3 - (x/6 + x/27) = 25x/54
Spent on vacation = 25x/54 * 7/10 = 35x/108
Given to church = 25x/54 - 35x/108 = 5x/36
5/36 of inheritance given to church
35/108 of inheritance spent on vacation.
1/6 of inheritance spent on car
1/12 of inheritance spent on TV