Question

Two friends work at the same store. One friend works 32 hours and earns $17 each hour, and the other works 26 hours and earns $15 each hour.

How much do they earn altogether?

Answer 1

$934

Explanation:

Let the two friends be known as Friend A and Friend B.

To determine the total money earned by each friend, we must find out how much cash did each friend earn. This can be done by putting the "earning rate per hour" into equation form and multiply the total time on both sides of the equation. We also need to multiply the total time on both sides of the equation because it can find out how much money a friend can earn in their work time. One we multiply both sides of the equation, we need to simplify both sides of the equation to get the total money earned by each friend.

Determining the Total Cash earned by Friend A

We know the following information:

• Cash earned by Friend A (Rate): $17 per hour
• Total work (Time): 32 hours

Step-1: Convert the rate into equation form

• ⇒ $17 = 1 hour

Step-2: Multiply the total work on both sides of the equation

• ⇒ $17 × 32 = 1 hour × 32
• ⇒ $544 = 32 hours

Therefore, Friend A earned $544.

Determining the Total Cash earned by Friend B

We know the following information:

• Cash earned by Friend A (Rate): $$15 per hour
• Total work (Time): 26 hours

Step-1: Convert the rate into equation form

• ⇒ $15 = 1 hour

Step-2: Multiply the total work on both sides of the equation

• ⇒ $15 × 26 = 1 hour × 26
• ⇒ $390 = 26 hours

Therefore, Friend B earned $390.

Determining the total cash earned by the two friends

Step-1: Write the formula for the total cash

• ⇒ Friend A + Friend B = Total cash earned altogether

Step-2: Substitute the missing values into the equation

• ⇒ $544 + $390 = Total Cash

Step-3: Simplify the equation

• ⇒ $934 = Total Cash

Therefore, the total money earned by the two friends is $934.