Question 349181
Let {{{a}}} = price of 1 hotdog (in cents)
Let {{{b}}} = price of 1 drink (in cents)
given:
For John:
(1) {{{6a + 4b = 670}}}
For Jessica:
(2) {{{4a + 3d = 465}}}
Multiply both sides of (1) by {{{3}}}
and both sides of (2) by {{{4}}}
Then subtract (2) from (1)
(1) {{{18a + 12b = 2010}}}
(2) {{{-16a - 12d = -1860}}}
{{{2a = 150}}}
{{{a = 75}}}
Then, from (1)
(1) {{{6*75 + 4b = 670}}}
{{{450 + 4b = 670}}}
{{{4b = 220}}}
{{{b = 55}}}
The price of a hotdog is 75 cents