Question

Todd earns $0.75 for every hour he babysits his younger brother. His mom also pays him $35 per month for an allowance. Caleb earns $0.55 for every hour he babysits his siblings, and his mom pays him $50 per month for an allowance. For what number of hours of babysitting will Todd's earnings be no less than Caleb's earnings per month?

Answer 1

Todd's earnings will be no less than Caleb's earnings per month when he babysits for at least 75 hours.

Step-by-step explanation:

To determine the number of hours of babysitting for Todd's earnings to be no less than Caleb's earnings per month, we need to set up an equation to compare their earnings. Let x represent the number of hours of babysitting. Todd's earnings per month consist of his earnings from babysitting and his allowance, which totals to 0.75x + 35. Caleb's earnings per month include his earnings from babysitting and his allowance, which totals to 0.55x + 50. To find the number of hours where the earnings are equal, we set up the equation:

0.75x + 35 = 0.55x + 50

0.2x = 15

x = 75

Therefore, for at least 75 hours of babysitting, Todd's earnings will be no less than Caleb's earnings per month.