SOLUTION: A caterer is planning a party for 64 people. The customer has $150 to spend. A $39 pan of pasta feed 14 people and a $12 sandwich tray feeds 6 people. How many pans of pasta and ho

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Question 785011: A caterer is planning a party for 64 people. The customer has $150 to spend. A $39 pan of pasta feed 14 people and a $12 sandwich tray feeds 6 people. How many pans of pasta and how many sandwich trays should the caterer make?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
p for pans
t for trays

Account for feeding people:
14p+6t=64 ----------check how the units work for each term to see how this makes sense. Divide left and right by 2, gives,,,
7p%2B3t=32

Account for the money:
39p+12t=150 ----------again, if unsure, check how the units work.
Simplify this one by division by 3, rendering
13p%2B4t=50

Solve the two simultaneous equations anyway you want.



-%2828p%2B12t%29=-%28128%29
39p%2B12t=150
----------------
11p=22
p=2 then t=?