SOLUTION: Apples are collected in a basket for six people. One third, one fourth, one eight and one fifth are given to four people respectively. The fifth person gets ten apples with one app

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Question 484598: Apples are collected in a basket for six people. One third, one fourth, one eight and one fifth are given to four people respectively. The fifth person gets ten apples with one apple remaining for the sixth person. Find the original number of apples in the basket?
thank you very for the answer! :)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = original number of apples
given:

+x+-+%281%2F3%29%2Ax+-+%281%2F4%29%2Ax+-+%281%2F8%29%2Ax+-+%281%2F5%29%2Ax+=+11+
+x%2A%28+1+-+%281%2F3%29+-+%281%2F4%29+-+%281%2F8%29+-+%281%2F5%29%29+=+11+
Multiply both sides by 120
+x%2A%28+120+-+40+-+30+-+15+-+24%29+=+11%2A120+
+x+=+1320+%2F+11+
+x+=+120+
There were 120 apples originally in the basket
check:
+120%2F3+=+40+
+120%2F4+=++30+
+120%2F8+=+15+
+120%2F5+=+24+
+40+%2B+30+%2B+15+%2B+24+%2B+11+=+120+