45% of the student body at a local high school work part-time. 80% of the students who do not part-time love math whereas only 60% of the students who work part-time love math. What total percentage of the student body love math?

71%

Step-by-step explanation:

I think the easiest way to think of this is to pretend that there are a total of 100 students at the high school, so that means the amount of people who work part time is 45% of 100 = 45 people. If 60% of those students love math, you do 0.6 * 45 = 27 people.

Next, 80% of the students who do not have a part time job (100 - 45 = 55) love math, so 0.8 * 55 = 44 people.

44 + 27 = 71, so the percent is 71/100 = 71%.

let me know if any part of that doesn't make sense

step-by-step explanation: