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Debra, Miguel, and Pablo have a total of $100 in their wallets. Miguel has $5 less than Debra. Pablo has 3 times what Debra has. How much does each have?

User Kwz
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1 Answer

1 vote

Final answer:

Debra has $21, Miguel has $16, and Pablo has $63.

Step-by-step explanation:

We can solve this problem using a system of equations. Let's let D represent the amount of money Debra has, M represent the amount of money Miguel has, and P represent the amount of money Pablo has.

From the problem, we know that Miguel has $5 less than Debra, so M = D - 5. We also know that Pablo has 3 times what Debra has, so P = 3D.

We are also given that the total amount of money is $100, so D + M + P = 100.

Let's solve this system of equations to find the values of D, M, and P.

Substituting the values of M and P from the other equations into the last equation, we get D + (D - 5) + 3D = 100. Simplifying this equation gives us 5D - 5 = 100. Adding 5 to both sides gives us 5D = 105. Dividing both sides by 5 gives us D = 21.

Substituting this value of D back into the other equations, we find that M = 16 and P = 63.

Therefore, Debra has $21, Miguel has $16, and Pablo has $63.

User Drvtiny
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