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Cheko has twice as much savings as Raj. Ahmad has $4064 more than Raj. They have a total savings of $13 604. How much savings does Ahmad have?

Question

Cheko has twice as much savings as Raj. Ahmad has 4064morethanRaj.Theyhaveatotalsavingsof4064 more than Raj. They have a total savings of 13 604. How much savings does Ahmad have?

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Solution

Let's denote Raj's savings as R.

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

Ahmad has 4064morethanRaj,soAhmad′ssavingsisR+4064 more than Raj, so Ahmad's savings is R + 4064.

The total savings of all three is $13 604, so we can set up the following equation:

R (Raj's savings) + 2R (Cheko's savings) + R + 4064(Ahmad′ssavings)=4064 (Ahmad's savings) = 13 604

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

First, combine like terms:

4R + 4064=4064 = 13 604

Next, subtract $4064 from both sides to isolate the variable term:

4R = 13604−13 604 - 4064

4R = $9540

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

R = $9540 / 4

R = $2385

So, Raj has $2385.

To find out how much Ahmad has, we add $4064 to Raj's savings:

Ahmad's savings = Raj's savings + $4064

Ahmad's savings = 2385+2385 + 4064

Ahmad's savings = $6449

So, Ahmad has $6449.

This problem has been solved

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