Question

Jasmine and Carlotta are sisters, and each have their own savings. Together, they borrowed $28 from their brother to go to the movies. Each girl has to pay back an equal amount. Carlotta also owes her brother $6. Which expression represents the change in Carlotta’s savings after she repays her brother?

Negative 28 divided by 2 + (negative 6)
28 divided by 2 + (negative 6)
Negative 28 times 2 + (negative 6)
Negative 28 divided by 2 minus (negative 6)

Answer 1

Explanation:

The expression that represents the change in Carlotta's savings after she repays her brother is:

Negative 28 divided by 2 + (negative 6)

In this expression, we divide the borrowed amount of $28 by 2 to find the equal amount that each sister has to repay. The negative sign indicates that it is a repayment, reducing Carlotta's savings. We then add the additional amount Carlotta owes her brother, which is negative $6.

So the expression correctly represents the change in Carlotta's savings after repaying her brother.

To prove that the expression "Negative 28 divided by 2 + (negative 6)" represents the change in Carlotta's savings after she repays her brother, we can break down the steps involved.

Step 1: Divide the borrowed amount by 2.

Negative 28 divided by 2 = -14

Step 2: Add the additional amount Carlotta owes her brother.

-14 + (negative 6) = -20

The result of -20 represents the change in Carlotta's savings after she repays her brother. The negative sign indicates a decrease in savings, as she is returning borrowed money.

Therefore, the expression "Negative 28 divided by 2 + (negative 6)" correctly represents the change in Carlotta's savings after she repays her brother.