SOLUTION: Mr . smith spends 3/10 of his salary on taxes and 4/7 of the remainder on transport . he then spends 5/6 of the further remainder on food and deposits the rest in the bank , if he

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Mr . smith spends 3/10 of his salary on taxes and 4/7 of the remainder on transport . he then spends 5/6 of the further remainder on food and deposits the rest in the bank , if he       Log On


   

Question 1095124: Mr . smith spends 3/10 of his salary on taxes and 4/7 of the remainder on transport . he then spends 5/6 of the further remainder on food and deposits the rest in the bank , if he deposits 500 in the bank what is his salary ?
Found 2 solutions by CubeyThePenguin, greenestamps:
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F10 on taxes

7%2F10+%2A+4%2F7+=+2%2F5 on transport

3%2F10+%2A+5%2F6+=+1%2F4 on food
1+-+3%2F10+-+2%2F5+-+1%2F4+=+1%2F20 in the bank

Total salary: 500 * 20 = 10%2C000

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Salary x

3/10 spent; 7/10 is left

4/7 of the 7/10 used for transport, so 3/7 of the 7/10 = 3/10 is left

5/6 of the 3/10 is spent on food, so 1/6 of the 3/10 = 1/20 is left

The $500 that is left is 1/20 of his salary; his salary is 20*$500 = $10,000.