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Question 931774: Central Freight dispatched 5 fewer trucks on Monday than on Tuesday. The company dispatched 9 more trucks on Wednesday than on Tuesday. The total number of trucks dispatched on the three days was 175 trucks.
A student obtained the following answers 55 trucks dispatched on Monday, 58 trucks dispatched on Tuesday, and 62 trucks on Wednesday. Was the student's answer correct? Why or Why not? Explain in detail and show all work.
Answer by ptfile(81)   (Show Source):
You can put this solution on YOUR website! Let M = Monday
T = Tuesday
W = Wednesday
Central Freight dispatched 5 fewer trucks on Monday than on Tuesday.
T = M + 5
The company dispatched 9 more trucks on Wednesday than on Tuesday.
W = T + 9
The total number of trucks dispatched on the three days was 175 trucks.
M + T + W = 175
M + M + 5 + M + 5 + 9 = 175
3M = 156
M = 52
T = 57
W = 66
The correct answer is 52 trucks dispatched on Monday, 57 trucks dispatched on Tuesday, and 66 trucks on Wednesday.
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