The equation for the number of hours Richard needs to work to reach 30 hours for the week is:
Total hours worked = Target hours - Hours already worked
h = 30 - 21 1/5
To solve this equation, we need to convert the mixed number 21 1/5 to an improper fraction. We can do this by multiplying the whole number (21) by the denominator (5) and adding the numerator (1), then placing the result over the denominator:
21 1/5 = (21 * 5 + 1) / 5 = 106 / 5
Now we can subtract the hours already worked from the target hours:
h = 30 - 106/5
To subtract fractions, we need a common denominator. In this case, the common denominator is 5:
h = (150/5) - (106/5)
Now we can subtract the fractions:
h = 44/5
To simplify the fraction, we can divide the numerator (44) by the denominator (5):
h = 8 4/5
Therefore, Richard needs to work an additional 8 hours and 4/5 of an hour to reach a total of 30 hours for the week.
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 and 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
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