First, find how much we earn per hour by dividing $38.25 by the total number of hours worked.
$21.25, see solution.
Practice makes perfect
We are told that we and our friend were paid $38.25 for doing yard work. We want to split the money according to the amount of time each of us worked. Let's do it! We worked 2.5 hours and our friend worked 2 hours. Therefore, in total, we and our friend worked for 4.5 hours.
Total work=2+2.5hours ⇕ Total work=4.5hours
Let's find how much money we earn per hour of work. For the 4.5 hours of work, we received $38.25. This means that our hourly rate is $38.25 divided by 4.5.
38.25Ă· 4.5Before we divide this, we will make the divisor a whole number by multiplying both numbers by 10.
(38.25* 10) ÷ (4.5* 10) ⇕ 382.5 ÷ 45
Let's estimate the result! The number 382.5 is close to 400 and the number 45 is close to 40. This means that we can make the following estimate.
400Ă· 40=10
We found that our result should be about 10. Now we will divide 382.5 by 45.
We found that the quotient is equal to 8.5. We know that this is correct because it is close to our estimation. In the context of the situation, this means that we earn $8.50 per hour.
Hourly rate=8.5dollars per hour
We worked for 2.5 hours, so to find how much our share of the money is, we need to multiply 8.5 by 2.5.
8.5* 2.5 =21.25
Our share of the money is $21.25. Our friend worked for 2 hours, so their share is 8.5 times 2.
8.5* 2 =17
Our friend's share of money is $17.
