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Cheko has twice as much savings as Raj. Ahmad has $3936 more than Raj. They have a total savings of $18 132. How much savings does Ahmad have?

Question

Cheko has twice as much savings as Raj. Ahmad has 3936morethanRaj.Theyhaveatotalsavingsof3936 more than Raj. They have a total savings of 18 132. 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 3936morethanRaj,sowecandenoteAhmad′ssavingsasR+3936 more than Raj, so we can denote Ahmad's savings as R + 3936.

The total savings of all three is $18,132. So we can set up the following equation:

R (Raj's savings) + 2R (Cheko's savings) + R + 3936(Ahmad′ssavings)=3936 (Ahmad's savings) = 18,132

Simplifying the equation, we get 4R + 3936=3936 = 18,132

Subtract 3936frombothsidestoisolatethevariableterm:4R=3936 from both sides to isolate the variable term: 4R = 14,196

Finally, divide both sides by 4 to solve for R: R = $3549

So, Raj has $3549.

To find out how much Ahmad has, we add 3936toRaj′ssavings:3936 to Raj's savings: 3549 + 3936=3936 = 7485

So, Ahmad has $7485.

This problem has been solved

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