Question 220660
Let {{{m}}} = number of medium pizzas sold
Let {{{l}}} = number of large pizzas sold
given:
(1) {{{m + l = 50}}}
{{{66350}}} = cash received for {{{50}}} pizzas (in cents)
------------------
{{{1095m}}} = cash from medium pizzas (in cents)
{{{1495l}}} = cash from large pizzas (in cents)
(2) {{{1095m + 1495l = 66350}}}
I have 2 equations with 2 unknowns, so it's solvable
Multiply both sides of (1) by {{{1095}}} and subtract
from (2)
(2) {{{1095m + 1495l = 66350}}}
(1) {{{-1095m - 1095l = -54750}}}
{{{400l = 11600}}}
{{{l = 29}}}
and, since
(1) {{{m + l = 50}}}
{{{m + 29 = 50}}}
{{{m = 21}}}
21 medium and 29 large pizzas were sold
check answer:
(2) {{{1095m + 1495l = 66350}}}
{{{1095*21 + 1495*29 = 66350}}}
{{{22995 + 43355 = 66350}}}
{{{66350 = 66350}}}
OK