Brynn is mowing the lawn. If it has taken 1/2

Question

hour to mow 2/3
of the lawn, how long will it take to mow the entire lawn?

(1 point)
Responses

3/4
of an hour
3 fourths of an hour

1/6
of an hour
1 sixth of an hour

1 1.3
hours
1 and 1 third hours

1/3
of an hour

Answer 1

To determine how long it will take Brynn to mow the entire lawn, we can set up a proportion based on the information provided.

If it takes 1/2 hour to mow 2/3 of the lawn, we can find the time it takes to mow the entire lawn (1 whole lawn) using the following steps:

1. Find the rate at which Brynn mows the lawn: \[ \text{Rate} = \frac{\text{Time}}{\text{Area}} = \frac{1/2 \text{ hour}}{2/3 \text{ of the lawn}} = \frac{1/2}{2/3} = \frac{1}{2} \times \frac{3}{2} = \frac{3}{4} , \text{hours per lawn} \] So, Brynn mows 2/3 of the lawn in 1/2 hour. Therefore, the rate is 3/4 hour to mow 1 full lawn.

2. If it takes 3/4 hour to mow the entire lawn, we can also express this in minutes if needed, but this answer fits the original format.

Thus, it will take Brynn:

\[ \text{1 whole lawn takes } \frac{3}{4} \text{ hour.} \]

So the correct answer is 3/4 of an hour.