document.write( "Question 412142: I need some help with this please!: A local pizzeria sells a small pizza with one topping for $6 and a small pizza with three toppings for $8. What is the charge for a PLAIN small pizza? What is the charge for each topping? Use a system of equations to model each situation. Solve by using any method (substitution,elimination). \n" ); document.write( "

Algebra.Com's Answer #289550 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
They are asking \"What is the price per topping?\"
\n" ); document.write( "Let $\"x\"$ = the price / topping
\n" ); document.write( "Let $\"y\"$ = cost of the pizza without a topping
\n" ); document.write( "given:
\n" ); document.write( "1 topping costs $\"1%2Ax\"$
\n" ); document.write( "3 toppings cost $\"3x\"$
\n" ); document.write( "(1) $\"y+%2B+x+=+6\"$
\n" ); document.write( "(2) $\"y+%2B+3x+=+8\"$
\n" ); document.write( "---------------
\n" ); document.write( "This is 2 equations with 2 unknowns, so it's solvable
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"y+%2B+3x+=+8\"$
\n" ); document.write( "(1) $\"-y+-+x+=+-6\"$
\n" ); document.write( " $\"2x+=+2\"$
\n" ); document.write( " $\"x+=+1\"$
\n" ); document.write( "The cost/topping is $1
\n" ); document.write( "and, from (1),
\n" ); document.write( "(1) $\"y+%2B+x+=+6\"$
\n" ); document.write( " $\"y+=+6+-+1\"$
\n" ); document.write( " $\"y+=+5\"$
\n" ); document.write( "The charge for a plain pizza is $5 \n" ); document.write( "

\n" );