<PRE><B>Question 943192</B>
Let P=Plates and B=bowls
0.25B+.20P=44; 3B+P=480 (This equation was your problem: convert all to same units)
Solve second equation for P
P=480-3B
Substitute in first
0.25B+(.2(480-3B))=44
0.25B+96-0.6B=44
96-.35B=44 Subtract 44 from each side
96-44-0.35B=0 add .35B to each side
52=0.35B divide each side by 0.35
(52/.35)=.35B/.35
148.6=B Number of bowls is 148.6
P=480-3(148.6)= 34.2 Number of plates is 34.2
CHECK
Material
0.25B+0.20P=44
0.25(148.6)+0.20(34.2)=44
37.15+6.84=44
43.99=44 (discrepancy due to rounding)
Time
3(148.6)+34.2=480
445.8+34.2=480
480=480










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