Question 396086
Let {{{a}}} = cost of a hamburger
Let {{{b}}} = cost of a chilidog
given:
(1) {{{6a + 2b = 3332}}} (in cents)
(2) {{{3a + 10b = 3997}}} (in cents)
---------------------
Divide both sides of (1) by {{{2}}}, and
subtract (1) from (2)
(2) {{{3a + 10b = 3997}}}
(1) {{{-3a - b = -1666}}}
{{{9b = 2331}}}
{{{b = 259}}}
and, from (1),
(1) {{{3a + b = 1666}}}
{{{3a + 259 = 1666}}}
{{{3a = 1407}}}
{{{a = 469}}}
A hamburger costs $4.69
A chilidog costs $2.59