Question 6651
Total number of centerpieces=35(given)
"He needs 6 fewer of the $22 centerpieces than of the $37 centerpieces."
now let number of $37 pcs be x.
then number of $22 pcs is (x-6)
then number of $48 pcs=35-x-(x-6)=35-x-x+6=(41-2x)
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given that total cost is $1355
then cost of all the $37 pcs=37(x) dollars
cost of all the $22 pcs=22(x-6)dollars
cost of all the $48 pcs=48(41-2x) dollars
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then total cost is equal to sum of the above
1355=37(x)+22(x-6)+48(41-2x)
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*[invoke explain_simplification "1355=37(x)+22(x-6)+48(41-2x)"]
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As you can see from that huge box above,x=13
then number of $37 pcs=13
number of $22 pcs=(x-6)=7
then number of $48 pcs=35-(13+7)=35-20=15
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<font color=blue>Hence,he will have to order 15 of the $48 pcs</font>
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Prabhat.