SOLUTION: sixty cookies were divided equally to x campers. When 8 campers did not want the cookies, the other campers each received 2 more cookies. Which of the following equations could be

Algebra ->  Absolute-value -> SOLUTION: sixty cookies were divided equally to x campers. When 8 campers did not want the cookies, the other campers each received 2 more cookies. Which of the following equations could be       Log On


   



Question 1096059: sixty cookies were divided equally to x campers. When 8 campers did not want the cookies, the other campers each received 2 more cookies. Which of the following equations could be
used to find the number of campers x?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Initially, each camper got +60%2Fx+ cookies
The 8 campers who did not want cookies
got a total of +8%2A%28+60%2Fx+%29+=+480%2Fx+ cookies
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I can say:
+%28+60%2Fx+%2B+2+%29%2A%28+x+-+8+%29+=+60+
+60+%2B+2x+-+480%2Fx+-+16+=+60+
+2x+-+480%2Fx+=+16+
+2x%5E2+-+480+=+16x+
+2x%5E2+-+16x+-+480+=+0+
+x%5E2+-+8x+-+240+=+0+
+%28+x+-+20+%29%2A%28+x+%2B+12+%29+=+0+ ( by looking at it )
+x+=+20+ ( can't use the negative result )
There were 20 campers
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check answer:
+60%2Fx+=+60%2F20+
+60%2Fx+=+3+
Each got 3 cookies
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8 campers did not want cookies, which is
+3%2A8+=+24+ cookies, which get divided
among +20+-+8+=+12+ campers
+24%2F12+=+2+ cookies more for the 12
other campers
OK