Question

During the next summer, Kim plans to work at a restaurant and do some babysitting. She wants to earn a total of $900 from both jobs. The amount she plans to earn from the restaurant is to be equal to five times the amount earned from babysitting. How much will she need to earn from each job? Let x⁷ =, Let y⁷ =.

Answer 1

Kim needs to earn $150 from babysitting and $750 from the restaurant to reach her summer earnings goal of $900, with the restaurant income being five times her babysitting income.

Step-by-step explanation:

The student's question pertains to creating a plan for how much Kim needs to earn from each job to reach her goal of $900 during the summer. To solve this, we set up two equations based on the information given: x represents the amount she plans to earn from babysitting, and y represents the amount from the restaurant job. We know that y = 5x (the restaurant earnings are five times the babysitting earnings) and x + y = $900 (the total earnings goal).

To find the amounts for each job, we substitute the first equation into the second one to get x + 5x = $900 which simplifies to 6x = $900. Dividing both sides by 6 gives us x = $150. Then we calculate y by multiplying x by 5, giving us y = $750. Therefore, Kim plans to earn $150 from babysitting and $750 from working at the restaurant.