Question

Terrance has a summer job mowing lawns. His earnings for the first 9 weeks are given below $225, $280, $300, $200, $190, $250, $220, $205, $195 How much does Terrance need to earn in week 10 to have earned an average of $250 per week?

Answer 1

To find an average, we add all the numbers and then divide by the quantity of numbers. In this case, add all 10 numbers, divide by 10 and that will equal the average of $250.

x= week 10 earnings

Solve for x to find week 10 earnings

($225 + $280 + $300 + $200 + $190 + $250 + $220 + $205 + $195 + x) ÷ 10 = $250

(2065 + x) ÷ 10= 250
multiply both sides by 10

2065 + x= 2500
subtract 2065 from both sides

x= $435 week 10 earnings


ANSWER: He must earn $435 in week 10 to have a ten week average of $250.

Hope this helps! :)

Answer 2

He would need to have 55 dollars