document.write( "Question 912003: please help me solve this problem,,A gourmet coffee shop has two different types of coffe.Type A cost PhP5.95 per pound and type B costs php7.00 per pound.A customer wishes to purchase a mixture of these,using two times more of type A than type B.If the total cost for the customer is PhP56.70,how many pounds of each did the customer buy? \n" ); document.write( "
Algebra.Com's Answer #553490 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = pounds of type A needed
\n" ); document.write( "Let \"+b+\" = pounds of type B needed
\n" ); document.write( "----------------
\n" ); document.write( "(1) \"+a+=+2b+\"
\n" ); document.write( "(2) \"+5.95a+%2B+7b+=+56.7+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+5.95%2A2b+%2B+7b+=+56.7+\"
\n" ); document.write( "(2) \"+11.9b+%2B+7b+=+56.7+\"
\n" ); document.write( "(2) \"+18.9b+=+56.7+\"
\n" ); document.write( "(2) \"+b+=+3+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+=+2b+\"
\n" ); document.write( "(1) \"+a+=+2%2A3+\"
\n" ); document.write( "(1) \"+a+=+6+\"
\n" ); document.write( "----------------
\n" ); document.write( "6 pounds of type A is needed
\n" ); document.write( "3 pounds of type B is needed
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+5.95%2A6+%2B+7%2A3+=+56.7+\"
\n" ); document.write( "(2) \"+35.7+%2B+21+=+56.7+\"
\n" ); document.write( "(2) \"+56.7+=+56.7+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );