Question

All together, Brett, George, and Ondine spent $142. Brett spent $6 less than George and Ondine combined. Brett spent $12 more than 2 times what Ondine spent. Write and solve a system of equations to find out how much each person spent.

Answer 1

Brett spent $68, George spent $74, and Ondine spent $74.

Step-by-step explanation:

Let's represent the amount that Brett spent as B, the amount George spent as G, and the amount Ondine spent as O.

We know that B + G + O = 142.

We also know that B = G + O - 6, and B = 2O + 12.

Substituting the second equation into the first equation, we get (G + O - 6) + G + O = 142.

Combining like terms, we have 2G + 2O - 6 = 142.

Adding 6 to both sides, we get 2G + 2O = 148.

Dividing both sides by 2, we find that G + O = 74.

Substituting this value into the equation B = G + O - 6, we can solve for B.

B = 74 - 6 = 68.

So Brett spent $68, George spent $74, and Ondine spent $74.