Question

Sam and Drew decide to mow lawns during their summer break with different companies. Sam gets a flat $15.00 every day plus $8.00 for every yard he mows. Drew gets paid $45.00 daily plus $6.00 for each yard he mows. When will they have mowed the same number of yards and earned the same amount? How much will they have earned?
Sam and Drew will have earned the same amount of $135 after mowing 13 yards.
Sam and Drew will have earned the same amount of $135 after mowing 15 yards.
Sam and Drew will have earned the same amount of $120 after mowing 13 yards.
Sam and Drew will have earned the same amount of $145 after mowing 15 yards.

Answer 1

Answer:

B. Sam and Drew will have earned the same amount of $135 after mowing 15 yards.

Step-by-step explanation:

You could write the amount that Sam and Drew earn as functions:

S = 15x + 8y

D = 45x + 6y

where x is the number of days and y is the number of yards mowed.

Next, we can plug in some values given by the answers.

135 = 15x + 8(13), x = 31/15

135 = 45x + 6(13), x = 57/45

the values of x do not match up for option A.

135 = 15x + 8(15), x = 1

135 = 45x + 6(15), x = 1

The values of x are equal for option B, so that is the answer