Raju had 5 times as much money as Ann. How much did Raju have at first?

[Johnx1]

Raju and Ann saved a total of 1560 dollars. After Raju gave Ann 50 dollars, Raju had 5 times as much money as Ann. How much did Raju have at first?Number of dollars saved = R
Number of dollars saved = A

1) We know Raju and Ann saved 1560 dollars

R + A = 1560

2) (i got confuse at this part) Raju gave Ann 50 dollars, Raju had 5 times as much money as Ann

R = 5A (not sure if this is the correct way to do it)So then I did => 5A + A = 1560. So A = 260.

Then, I put it back to R = 5A, and then I added 50. So the answer is R = 1350.

 

[MarkFL]

After Raju gave Ann 50 dollars Raju had \(R-50\) and Ann had \(A+50\), so we want:

\(\displaystyle R-50=5(A+50)\)

Now, as you observed:

\(\displaystyle R+A=1560\implies A=1560-R\)

And so we can now substitute into the first equation to get an equation in \(R\) only:

\(\displaystyle R-50=5((1560-R)+50)\)

Solving this equation, you will indeed find \(R=1350\).

 

[Johnx1]

After Raju gave Ann 50 dollars Raju had \(R-50\) and Ann had \(A+50\), so we want:

\(\displaystyle R-50=5(A+50)\)

Thank you for this.

When I went back to this question, I had a feeling that I was making math up. Thanks again.