SOLUTION: Ali bought 5 packets of sweets and Mary bought 3 packets of sweets. The cost was the same amount per packet. these 8 packets were shared equally among Ali, Mary, and John. John had

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Ali bought 5 packets of sweets and Mary bought 3 packets of sweets. The cost was the same amount per packet. these 8 packets were shared equally among Ali, Mary, and John. John had      Log On

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Question 823780: Ali bought 5 packets of sweets and Mary bought 3 packets of sweets. The cost was the same amount per packet. these 8 packets were shared equally among Ali, Mary, and John. John had to pay 40 cents for his share of sweets. How much of the 40 cents should be paid to Ali and Mary?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
They split 8 packets 3 ways, so each one
got +8%2F3+ of a packet
So, John's share was +8%2F3+ of a packet
---------------------------------
Ali bought +5%2F8+ of the 8 packets
Mary bought +3%2F8+ of the 8 packets
---------------------------------
Let +c+ = the cost/packet
+%288%2F3%29%2Ac+=+40+
+c+=+%283%2F8%29%2A40+
+c+=+15+ cents
-----------------
The cost of 8 packets is +8%2A15+=+120+ cents
Ali gets +%285%2F8%29%2A%28+120%2F3+%29+=+25+ from each of the 3 people
Mary gets +%283%2F8%29%2A%28+120%2F3+%29+=+15+ from each of the 3 people
-----------------
John pays 25 cents to Ali and 15 cents to Mary
-----------------
check:
+25%2A3+%2B+15%2A3+=+120+
+75+%2B+45+=+120+
+120+=+120+
OK