On a field trip, the school bus drove five more than twice as many miles in the afternoon as in the morning. If the whole trip was 125 miles, how many miles did the bus travel in the morning and how many in the afternoon?
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On a field trip, the school bus drove five more than twice as many miles in the afternoon as in the morning. If the whole trip was 125 miles, how many miles did the bus travel in the morning and how many in the afternoon?
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Let m be the amount of miles the bus drove in the morning. We can deduce the following equation from the question:
m+2m+5=125
Solve:
3m+5=125
3m=120
m=40
The bus travelled 2m+5 miles in the afternoon. Now substitute the value of m into the expression for the miles in the afternoon:
2×40+5=85
Therefore, the bus travelled 40 miles in the morning and 85 miles in the afternoon.
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