You and your friend are paid $38.25 for doing yard work. You worked 2.5 hours and your friend worked 2 hours. You split the money according to the amount of time each of you worked. How much is your share of money? Explain.

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Answer:

Your share of money is $21.25.

Step-by-step explanation:

You and a friend are paid $38.25 for doing yard work.

You worked 2.5 hours and your friend worked 2 hours.

Let there be x dollars per hour for both friends. As same work is completed, and friends are paid together, we can write the equation as:

[tex]2.5x+2x=38.25\\4.5x=38.25[/tex]

x = 8.5 dollars

Hence, friend earned = 2x = 2 x 8.5 = 17 dollars

You earned 2.5x = 2.5 x 8.5= 21.25 dollars

Hence, your share of money is $21.25.

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Answer is $21.25 for your share of money.

Explained: The easy way to figure this out is to find the rate of pay and multiply the rate by the hours worked.

(2+2.5 = 4.5 total hours worked)

38.25 /4.5 hrs = $8.50 per hour rate of pay.

Your share is 2.5 x 8.50 = $21.25
Your friends is 2 x 8.50 = $17.00

Problem solved

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