Question

Last week, Jackson worked x hours walking dogs. He worked twice as many hours babysitting. He earned the same amount of money per hour for each job. The expression 30x 18 represents the total amount of money he earned last week. Enter a number in each box to create an equivalent expression which shows the amount of money he earned per hour.

Answer 1

Explanation:

Let's start with the given expression: 30x 18.

We know that Jackson worked x hours walking dogs and twice as many hours babysitting. This means he worked 2x hours babysitting.

To calculate the total amount of money he earned, we can add the amount earned from walking dogs and babysitting: 30x + 18.

To find the amount of money he earned per hour, we need to divide the total amount earned by the total number of hours worked. Since Jackson worked x hours walking dogs and 2x hours babysitting, the total number of hours worked is x + 2x, which simplifies to 3x.

Therefore, the expression representing the amount of money Jackson earned per hour is: (30x + 18) ÷ (3x).

Simplifying further, we can divide each term by 3x to get: 10 + 6 ÷ x.

So, the equivalent expression representing the amount of money Jackson earned per hour is: 10 + 6 ÷ x.