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Cheko has twice as much savings as Raj. Ahmad has $4681 more than Raj. They have a total savings of $17 745. How much savings does Ahmad have?

Question

Cheko has twice as much savings as Raj. Ahmad has 4681morethanRaj.Theyhaveatotalsavingsof4681 more than Raj. They have a total savings of 17 745. How much savings does Ahmad have?

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Solution

Let's denote the amount of savings Raj has as R.

According to the problem, Cheko has twice as much savings as Raj, so we can denote Cheko's savings as 2R.

Ahmad has 4681morethanRaj,sowecandenoteAhmadssavingsasR+4681 more than Raj, so we can denote Ahmad's savings as R + 4681.

The total savings of all three is $17 745. So, we can set up the following equation:

R (Raj's savings) + 2R (Cheko's savings) + R + 4681(Ahmadssavings)=4681 (Ahmad's savings) = 17 745

Solving this equation will give us the amount of savings each person has.

First, combine like terms:

4R + 4681=4681 = 17 745

Next, subtract $4681 from both sides of the equation to isolate the term with R:

4R = 1774517 745 - 4681

4R = $13 064

Finally, divide both sides of the equation by 4 to solve for R:

R = $13 064 / 4

R = $3266

So, Raj has $3266.

To find out how much Ahmad has, we add $4681 to Raj's savings:

Ahmad's savings = R + 4681=4681 = 3266 + 4681=4681 = 7947

So, Ahmad has $7947.

This problem has been solved

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