During weekdays, Richard is working as a part-time library assistant at a university. He needs to work for a total of 30 hours a week. For the first three days of the week, he worked 21 1/5 hours. Complete the working equation that represents the number of hours, h, Richard needs to work to reach 30 hours for the week and solve the equation. (1 point)

Question

During weekdays, Richard is working as a part-time library assistant at a university. He needs to work for a total of 30 hours a week. For the first three days of the week, he worked 21 1/5 hours. Complete the working equation that represents the number of hours, h, Richard needs to work to reach 30 hours for the week and solve the equation. (1 point)

Answer 1

The equation that represents the number of hours Richard needs to work to reach 30 hours for the week is:

h = 30 - 21 1/5

To solve the equation, first convert the mixed number 21 1/5 to a fraction. The fraction is 21 1/5 = 21 + 1/5 = 105/5 + 1/5 = 106/5.

So, the equation becomes:

h = 30 - 106/5

To calculate this, we need to find a common denominator. The common denominator is 5.

30 is equivalent to 30/1.

Now, subtract the fractions:

h = (30/1) - (106/5)

To subtract the fractions, we need to find a common denominator. The common denominator is 5.

30/1 = (30/1) * (5/5) = (150/5)

Now, the equation becomes:

h = (150/5) - (106/5)

To subtract the fractions, we subtract the numerators:

h = (150-106)/5

h = 44/5

So Richard needs to work 44/5 hours to reach 30 hours for the week.