Question. Marcy is the lunch monitor in an elementary school cafeteria. She gives 5 time-outs for running, 1 less than five times that number of time-outs for throwing food, and 1/3 the number of food-throwing time-outs for swearing. If each time-out is 5 minutes, how much time do the students spend in time-out total?
Answer. 185
What step-by-step reasoning justifies that answer?
Reasoning: First multiply the number of running time - outs by 5: 5 time - outs * 5 = 25 time - outs. Then subtract 1 from that number to find the number of food - throwing time - outs: 25 time - outs - 1 = 24 time - outs. Then divide that number by 3 to find the number of swearing time - outs: 24 time - outs / 3 = 8 time - outs. Then add the number of each kind of time - out to find the total number: 8 time - outs + 24 time - outs + 5 time - outs = 37 time - outs. Then multiply that number by the length of each time - out to find the total time the students spend in time - out: 37 time - outs * 5 minutes / time - out = 185 minutes.