Question 412142
They are asking "What is the price per topping?"
Let {{{x}}} = the price / topping
Let {{{y}}} = cost of the pizza without a topping
given:
1 topping costs {{{1*x}}}
3 toppings cost {{{3x}}}
(1) {{{y + x = 6}}}
(2) {{{y + 3x = 8}}}
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This is 2 equations with 2 unknowns, so it's solvable
Subtract (1) from (2)
(2) {{{y + 3x = 8}}}
(1) {{{-y - x = -6}}}
{{{2x = 2}}}
{{{x = 1}}}
The cost/topping is $1
and, from (1),
(1) {{{y + x = 6}}}
{{{y = 6 - 1}}}
{{{y = 5}}}
The charge for a plain pizza is $5