SOLUTION: Please help me solve this word problem: How many kilograms of cashew nuts worth php 66 a kilogram must be mixed with 10 kilograms of pecans worth php 85 a kilogram to make a mixtur

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Question 698531: Please help me solve this word problem: How many kilograms of cashew nuts worth php 66 a kilogram must be mixed with 10 kilograms of pecans worth php 85 a kilogram to make a mixture worth 71 a kilogram
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = kg of cashew nuts needed
given:
+%28+66a+%2B+85%2A10+%29+%2F+%28+a+%2B+10+%29+=+71+
This is simply
[ (cost/kg)x(kg) + (cost/kg)x(kg) ] / ( kg + kg ) = cost/kg
+66a+%2B+850+=+71%2A%28+a+%2B+10+%29+
+66a+%2B+850+=+71a+%2B+710+
+5a+=+140+
+a+=+28+
28 kg of cashew nuts are needed
check answer:
+%28+66a+%2B+85%2A10+%29+%2F+%28+a+%2B+10+%29+=+71+
+%28+66%2A28+%2B+85%2A10+%29+%2F+%28+28+%2B+10+%29+=+71+
+%28+1848+%2B+850+%29+%2F+38+=+71+
+2698+%2F+38+=+71+
+2698+=+38%2A71+
+2698+=+2698+
OK