Answer: To determine how much Thomas and Candice charged to mow a lawn, we can compare their total earnings (including tips) to the number of lawns they mowed.
Thomas mowed 35 lawns and received $150 in tips. Let's denote the amount Thomas charged to mow a lawn as "x."
Total earnings for Thomas = Earnings from lawns + Tips
Total earnings for Thomas = (35 * x) + $150
Similarly, Candice mowed 30 lawns and received $275 in tips. Let's denote the amount Candice charged to mow a lawn as "y."
Total earnings for Candice = Earnings from lawns + Tips
Total earnings for Candice = (30 * y) + $275
Since both Thomas and Candice charged the same amount per lawn, we can set their total earnings equations equal to each other:
(35 * x) + $150 = (30 * y) + $275
Now, we can solve this equation to find the amount they charged per lawn.
35x + $150 = 30y + $275
Rearranging the equation:
35x - 30y = $275 - $150
35x - 30y = $125
To simplify the equation, we need to know the specific values of x and y, which are the amounts they charged per lawn. Without additional information, we cannot determine the exact values of x and y or how much they charged to mow a lawn.