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Alex has 50% more money than Bob, and Carl has 25% more money than Bob. Altogether, they have a total of Php 3,750. How much does Alex have?
Pls. answer with solution.

Sagot :

Karlnadunzaidn

To answer this question, we must first represent the given facts in an equation.

Alex = A

Bob = B

Carl = C

Now,

 

A + B + C = 3,750

 

We should first find out how much Bob or B has:

A = 0.5(50%)B + B = 1.5B

C = 0.25(25%)B + B = 1.25B

 

Substitute aforementioned values to A + B + C = 3,750 :

 

1.5B + B + 1.25B = 3,750

3.75B = 3750

B = 1000

 

Bob has 1000. Therefore, Carl has 1250 and Alex has 1500

 

To check:

 

1000 + 1250 + 1500 = 3750