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 17 745. How much savings does Ahmad have?
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 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 + 17 745
Solving this equation will give us the amount of savings each person has.
First, combine like terms:
4R + 17 745
Next, subtract $4681 from both sides of the equation to isolate the term with R:
4R = 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 + 3266 + 7947
So, Ahmad has $7947.
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