QuestionLynsay wants to earn at least \$300 babysitting ($12/hour) and mowing ($15/hour) without exceeding 50 hours. Solve:
$$\left\{\begin{array}{l} 12 x+15 y \geq 300 \\ x+y \leq 50 \end{array}\right.$$
What's the minimum total hours to achieve this?

Studdy Solution
Since $x$ represents the number of hours spent babysitting, and it can be any value less than or equal to30, it is possible for Lynsay to not babysit at all and still satisfy both inequalities.Therefore, the smallest number of total hours she can work in order to earn at least \$300 without working more than50 hours is20 hours.