Amelia is working two summer jobs, babysitting and lifeguarding. She can work at most 11 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours babysitting, b, and the number of hours lifeguarding, l, that Amelia can work in a given week. Answer:

Question

Amelia is working two summer jobs, babysitting and lifeguarding. She can work at most 11 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours babysitting,  b, and the number of hours lifeguarding,  l, that Amelia can work in a given week. Answer:

Bytelearn · Accepted Answer

Define Variables: Let's denote the number of hours Amelia can work babysitting as b and the number of hours she can work lifeguarding as l. Since she can work at most 11 hours altogether, the sum of b and l should not exceed 11. We can write this as an inequality.Formulate Inequality: The inequality that represents the condition is b + l ≤ 11. This means that the total hours spent on both jobs should be less than or equal to 11 hours.Check Validity: We need to check if the inequality makes sense in the context of the problem. Amelia cannot work negative hours, so both b and l should be greater than or equal to 0. This is an implicit condition that should be kept in mind when considering the solution to the inequality.

Full solution

More problems from One-step inequalities: word problems

Related topics