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Question 4 of 8

Sara worked 28 hours last week. Joan worked 6 hours less than Sara, and Erin worked half as many hours as Joan. How many hours did Sara, Joan, and Erin work last week?

Answer 1

Sara worked for 28 hours last week.

Joan worked for 22 hours last week.

Erwin worked for 11 hours last week.

Explanation:

Given :

Sara worked 28 hours last week.

Joan worked 6 hours less than Sara

Erin worked half as many hours as Joan.

To Find : How many hours did Sara, Joan, and Erin work last week?

Solution :

Since Sara worked for 28 hours last week .

And Joan worked for 6 hours less than Sara.

Then Joan worked for hours = 28-6 = 22 hours

Now we are also given that Erin worked for half as many hours as Joan

So, Erin worked for hours = Joan hours /2 = 22/2 = 11 hours.

Thus, Sara worked for 28 hours last week.

Joan worked for 22 hours last week.

Erwin worked for 11 hours last week.

Answer 2

Let

x------> hours worked by Sara last week

y------> hours worked by Joan last week

z------> hours worked by Erin last week

we know that

x=28 hours ------> equation 1

y=x-6-----> equation 2

substitute the value of x in equation 2

y=28-6=22 hours

z=y/2------> equation 3

substitute the value of y in the equation 3

z=22/2=11 hours

the answer is

Sara worked 28 hours last week

Joan worked 22 hours last week

Erin worked 11 hours last week