QuestionDespite having no experience or background qualifications, Susie has yet again been hired at a new job based on her excellent math skills and interviewing bravado. She is now running a greenhouse farm in Bluffdale to provide fresh and locally-grown year-round strawberries.
A runaway tractor has just destroyed one end of the greenhouse in the middle of winter. Susie's team of strawberry pickers could normally harvest all of the strawberries in 12 hours, but she only has 4 hours until sunset when frost will begin to destroy the crop.
How many day laborers must Susie immediately hire, in addition to her regular team, to complete the job in 4 hours? Assume each day laborer could do the job single handedly in 45 hours.
Number of Additional Workers = $\square$ HINT: Remember that Susie cannot hire fractions of workers... enter your answer as an integer!

Studdy Solution
Calculate the number of additional day laborers required.
Let $n$ be the number of additional day laborers needed. The combined work rate of the regular team and the additional day laborers is:
$\frac{1}{12} + n \times \frac{1}{45} = \frac{1}{4}$
Solve for $n$ :
$\frac{1}{12} + \frac{n}{45} = \frac{1}{4}$
Subtract $\frac{1}{12}$ from both sides:
$\frac{n}{45} = \frac{1}{4} - \frac{1}{12}$
Find a common denominator and simplify:
$\frac{1}{4} = \frac{3}{12}$ $\frac{3}{12} - \frac{1}{12} = \frac{2}{12} = \frac{1}{6}$
So:
$\frac{n}{45} = \frac{1}{6}$
Multiply both sides by 45:
$n = 45 \times \frac{1}{6}$ $n = \frac{45}{6}$ $n = 7.5$
Since Susie cannot hire fractions of workers, round up to the nearest whole number:
$n = 8$
Number of Additional Workers = $\boxed{8}$

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