Final answer:
Jacor and Mariah's earnings from household chores are solved using basic algebra. Jacor earned $20, and Mariah earned $30, as Mariah earned $10 more than Jacor.
Step-by-step explanation:
To solve the problem of how much Jacor and Mariah earned doing household chores, let's use algebra. Let J represent the amount Jacor earned. Since Mariah earned $10 more than Jacor, we can say Mariah earned J + $10. Together, they earned a total of $50, so we can create the following equation:
J + (J + $10) = $50
Combining like terms gives us: 2J + $10 = $50
Subtract $10 from both sides to isolate the terms with J on one side: 2J = $40
Divide both sides by 2 to solve for J: J = $20
This means Jacor earned $20. To find out how much Mariah earned, add $10 to Jacor's earnings:
Mariah's earnings = J + $10 = $20 + $10 = $30
So, Jacor earned $20 and Mariah earned $30.