document.write( "Question 1025699: A fitness club has a budget of 869 to purchase two different types of dumbbell sets. One set costs 31 each, and the deluxe model dumbbell set costs 43 each. The club wants to purchase 23 new dumbbell sets to use in its gym. How many sets of each type can it purchase?
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document.write( "The club can purchase _____ of the deluxe model and _______ of the regular models \n" );
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Algebra.Com's Answer #641036 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A fitness club has a budget of $869 to purchase two different types of dumbbell sets. One set costs 31 each, and the deluxe model dumbbell set costs 43 each. The club wants to purchase 23 new dumbbell sets to use in its gym. How many sets of each type can it purchase? \n" ); document.write( "Quantity Eq:: t + f = 23 sets \n" ); document.write( "Value Eq:: 31t+43f = 869 dollars \n" ); document.write( "-------------------------------------- \n" ); document.write( "Modify for elimination:: \n" ); document.write( "31t + 31f = 31*23 \n" ); document.write( "31t + 43f = 869 \n" ); document.write( "------- \n" ); document.write( "Subtract and solve for \"f\":: \n" ); document.write( "12f = 156 \n" ); document.write( "f = 13 (# of $43 sets) \n" ); document.write( "t = 23-13 = 10 (# of $31 sets) \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The club can purchase _____ of the deluxe model and _______ of the regular models \n" ); document.write( " |