Question

On a Saturday, Saul can cut 4 lawns in 6 hours. If Mitch can mow lawns at the same rate, how long will it take him to mow 9 lawns?

Answer 1

Answer:

13 $\frac{1}{2}$   hours

Step-by-step explanation:

Saul cut 4 lawns in 6 hours, to find how long it will take him to mow 9 lawns, we are going to use proportion to solve.

Let x be the time taken Saul to mow 9 lawns

4 lawns  = 6 hours

9 lawns  =   x

cross multiply

4 × x  = 9 × 6

4x = 54

Divide both-side of the equation by 4

4x/4  = 54/4

(On the right-hand side of the equation, 4 will cancel-out 4 leaving us with x and on the right - hand side of the equation 54 will be divided by 4)

x  = 54/4

x = 13 $\frac{1}{2}$ hours

Therefore, it will take Saul 13 $\frac{1}{2}$ hours to mow 9 lawns.

Answer 2

Mowing 4 lawns in 6 hours gives a mowing rate of 6/4 = 1.5 hours per lawn.
To mow 9 lawns, you need 1.5*9 = 13.5 hours.

The answer is B.