A, b,c, d each have some money. the amt a has is 1/3 total of b, c and d. the amt b has is 1/4 total of a, c,d. the amt c has is 1/5 total of a, b,d. if d has $1725, how much do they have altogether?

$4500

Step-by-step explanation:

The amount a has is 1/3 total of b, c, and d

   eq. 1

The amount b has is 1/4 total of a, c, and d

   eq. 2

The amount c has is 1/5 total of a, b, and d

   eq. 3

substitute the value of in above equations

Rearrange the equations to form matrices

As we know

To find the values of matrix X, we take inverse of matrix A and multiply it with matrix B

Solving using calculator yield the following results

so,

Finally, altogether they have

Verification:

Lets verify if have got the right answer!

Substitute the amount of b, c, and d in eq. 1

  (proved)

Substitute the amount of a, c, and d in eq. 2

   (proved)

Substitute the amount of a, b, and d in eq. 3

   (proved)

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3

yes

step-by-step explanation: