Question 1173102

Manuel bought 6 candy bars and 3 sodas at the gas station for $8.40. Gary bought 3 candy bars and 4 sodas at the same gas station for $7.45. What is the price of one soda?
<pre>Let cost of each candy bar, and soda, be C and S, respectively
Then we get: 6C + 3S = 8.4 ------- eq (i)
Also, 3C + 4S = 7.45 -------- eq (ii)
6C + 8S = 14.9 ------- Multiplying eq (ii) by 2 ------ eq (iii)
5S = 6.5 ------- Subtracting eq (i) from eq (iii)
Cost of a soda, or {{{highlight_green(matrix(1,5, S, "=", 6.5/5, "=", highlight("$1.30")))}}}