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Cheko has twice as much savings as Raj. Ahmad has $5123 more than Raj. They have a total savings of $13 343. How much savings does Ahmad have?

Question

Cheko has twice as much savings as Raj. Ahmad has 5123morethanRaj.Theyhaveatotalsavingsof5123 more than Raj. They have a total savings of 13 343. 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 5123morethanRaj,sowecandenoteAhmad′ssavingsasR+5123 more than Raj, so we can denote Ahmad's savings as R + 5123.

The total savings of all three is $13 343. So we can write the equation:

R (Raj's savings) + 2R (Cheko's savings) + R + 5123(Ahmad′ssavings)=5123 (Ahmad's savings) = 13 343.

Simplifying the equation, we get 4R + 5123=5123 = 13 343.

Subtract $5123 from both sides of the equation to solve for 4R:

4R = 13343−13 343 - 5123 = $8220.

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

R = 8220/4=8220 / 4 = 2055.

So, Raj has $2055.

To find out how much Ahmad has, we add $5123 to Raj's savings:

Ahmad's savings = R + 5123=5123 = 2055 + 5123=5123 = 7178.

So, Ahmad has $7178.

This problem has been solved

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