a man spent 4/7 of his money in one shop , if 1/3 of the remainder in another shop , and 4/7 of what still remained in a thired shop. if he still had $40 left, what was his original sum.

Question

a man spent 4/7 of his money in one shop , if 1/3 of the remainder in another shop , and 4/7 of what still remained in a thired shop. if he still had $40 left, what was his original sum.

Answer 1

x - 4/7x - (1/3*3/7)x -

(2/3*3/7*4/7)x = $40

x - 4/7x - 1/7x - 24/147x = $40

Solve for x.

Answer 2

A man spent 3/4 rupees and 4/5 give to her sister and 40 remains with him what was the total.

Answer 3

To solve this problem, we can work backward. Let's start with the amount of money the man had left ($40) and gradually figure out how much he had at each step.

Step 1: Spending 4/7 of his money in the third shop.
If he had $40 left after spending in the third shop, this $40 represents 4/7 of the money he had before going to the third shop.

Let X be the amount of money he had before going to the third shop.
So, 4/7 of X is equal to $40.

To find the value of X, we can set up an equation and solve for X:

4/7 * X = $40

Multiplying both sides of the equation by the reciprocal of 4/7 (7/4):

X = $40 * (7/4)
X = $70

Therefore, the man had $70 before going to the third shop.

Step 2: Spending 1/3 of the remainder in the second shop.
Before going to the second shop, the man had $70. From this amount, he spent 1/3 in the second shop.

Let Y be the amount of money he had before going to the second shop.
So, 1/3 of Y is equal to $70.

To find the value of Y, we can set up an equation and solve for Y:

1/3 * Y = $70

Multiplying both sides of the equation by the reciprocal of 1/3 (3/1 or simply 3):

Y = $70 * (3/1)
Y = $210

Therefore, the man had $210 before going to the second shop.

Step 3: Spending 4/7 of what still remained in the first shop.
Before going to the first shop, the man had $210. From this amount, he spent 4/7 in the first shop.

Let Z be the amount of money he had before going to the first shop.
So, 4/7 of Z is equal to $210.

To find the value of Z, we can set up an equation and solve for Z:

4/7 * Z = $210

Multiplying both sides of the equation by the reciprocal of 4/7 (7/4):

Z = $210 * (7/4)
Z = $367.50

Therefore, the man had $367.50 before going to the first shop, which is the original sum of money he had.

a man spent 4/7 of his money in one shop , if 1/3 of the remainder in another shop , and 4/7 of what still remained in a thired shop. if he still had $40 left, what was his original sum.

x - 4/7x - (1/3*3/7)x -

A man spent 3/4 rupees and 4/5 give to her sister and 40 remains with him what was the total.

38.20

To solve this problem, we can work backward. Let's start with the amount of money the man had left ($40) and gradually figure out how much he had at each step.