Let's denote the amount of money that Julian, Daniel, and Michael saved as J, D, and M respectively.

From the problem, we know that:

1) Daniel had 85% as much savings as Julian, so D = 0.85J.

2) Daniel had 30% less than what Michael had, so D = 0.70M.

3) The total amount of money saved by Julian, Daniel, and Michael is $3432, so J + D + M = 3432.

We can use these three equations to solve for the values of J, D, and M.

First, let's use the first two equations to express J and M in terms of D:

From D = 0.85J, we can rearrange to find J = D / 0.85.

From D = 0.70M, we can rearrange to find M = D / 0.70.

Now, we can substitute these expressions into the third equation:

J + D + M = 3432
(D / 0.85) + D + (D / 0.70) = 3432
(1.17647D) + D + (1.42857D) = 3432
3.60504D = 3432

Solving for D, we find D = 3432 / 3.60504 = $952.

Substituting D = $952 into the equation D = 0.70M, we find M = $952 / 0.70 = $1360.

So, Michael saved $1360.

Question

Let's denote the amount of money that Julian, Daniel, and Michael saved as J, D, and M respectively.

From the problem, we know that:

1) Daniel had 85% as much savings as Julian, so D = 0.85J.

2) Daniel had 30% less than what Michael had, so D = 0.70M.

3) The total amount of money saved by Julian, Daniel, and Michael is $3432, so J + D + M = 3432.

We can use these three equations to solve for the values of J, D, and M.

First, let's use the first two equations to express J and M in terms of D:

From D = 0.85J, we can rearrange to find J = D / 0.85.

From D = 0.70M, we can rearrange to find M = D / 0.70.

Now, we can substitute these expressions into the third equation:

J + D + M = 3432
(D / 0.85) + D + (D / 0.70) = 3432
(1.17647D) + D + (1.42857D) = 3432
3.60504D = 3432

Solving for D, we find D = 3432 / 3.60504 = $952.

Substituting D = $952 into the equation D = 0.70M, we find M = $952 / 0.70 = $1360.

So, Michael saved $1360.

Knowee AI · Accepted Answer