A certain amount of money is shared between 3 brothers. One of them gets 2/5 of it, the other gets 1/4 of it and the other gets 15. How much is the total amount of money?

Answer 1

Let the total amount of money be M.

According to the given information:

1. One brother gets 2/5 of the money.
2. Another brother gets 1/4 of the money.
3. The third brother gets 15.

So, we can express the total amount of money in terms of these fractions and the given value:

25𝑀+14𝑀+15=𝑀52​M+41​M+15=M

To solve for M, we first need to find a common denominator for the fractions 2/5 and 1/4, which is 20.

So, we rewrite the equation with the common denominator:

820𝑀+520𝑀+15=𝑀208​M+205​M+15=M

Now, we combine the fractions:

8𝑀20+5𝑀20+15=𝑀208M​+205M​+15=M

13𝑀20+15=𝑀2013M​+15=M

Now, let's isolate M:

13𝑀20=𝑀−152013M​=M−15

Multiplying both sides by 20 to get rid of the denominator:

13𝑀=20(𝑀−15)13M=20(M−15)

13𝑀=20𝑀−30013M=20M−300

Now, let's isolate M:

300=20𝑀−13𝑀300=20M−13M

300=7𝑀300=7M

𝑀=3007M=7300​

𝑀≈42.857M≈42.857

So, the total amount of money is approximately $42.86.

Answer 2

Let's say that the total amount is x. One brother gets 2/5 of x (2x/5), another gets x/4 and the third gets 15.

So 2x/5 + x/4 + 15 = x Multiply by 20 to eliminate the fractions

8x + 5x + 300 = 20x combine like terms

300 = 7x

x = $42.86.

Check: 2/5 = 0.4, 0.4(42.86)= $17.14

1/4 = 0.25, 0.25(42.86) = $10.72

The third brother gets $!5

Total is $42.86