linear equations and word problem
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1. Sharing fruit
Apples are collected in a basket for six people. One third, one fourth, one eighth, and one fifth of the apples are given to four people, respectively. The fifth person gets ten apples, and one apple remains for the sixth person. Find the original number of apples in the basket.
2. Music lessons
Band members at Colchester Middle School are expected to average at least 20 min of practice time per day. One week Monroe practiced 15 min, 28 min, 30 min, 0 min, 15 min, and 25 min. How long must he practice on the seventh day if he is to meet expectations?
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Solution Summary
This solution shows how to set up and solve the linear equations for the real world word problems. Step by step calculations are provided for each.
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1. Let x denote the original number of apples in the basket.
The first four persons each receives 1/3x , 1/4x, 1/8x, and 1/5x apples, respectively.
the fifth person gets 10 apples.
the sixth person gets 1 apple.
The total number of apples given out:
1/3x + 1/4x + 1/8x ...
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