Question 297444
Let {{{h}}} = number of hot chocolates sold
Let {{{c}}} = number of coffees sold
given:
(1) {{{h + c = 295}}}
(2) {{{.75h + .5c = 200}}}
Multiply both sides of (1) by {{{.5}}}
and subtract from (2)
{{{.75h + .5c = 200}}}
{{{- .5h - .5c = - 147.5}}}
{{{.25h = 52.5}}}
{{{h = 210}}}
and, since
{{{h + c = 295}}}
{{{c = 295 - 210}}}
{{{c = 85}}}
They sold 210 hot chocolates and 85 coffees
check:
(2) {{{.75h + .5c = 200}}}
(2) {{{.75*210 + .5*85 = 200}}}
{{{157.5 + 42.5 = 200}}}
{{{200 = 200}}}
OK