Question 1113592
one small, one medium  and one large and one jumbo size. the jumbo cause twice as much as the medium, the medium costs 70 cents more than the small and the large costs twice as much as the small. what are the price of each soda?
<pre>With M being the price of the medium, jumbo = 2M, small = M - .7, and large = 2(M - .7), or 2M - 1.4
We then get: M + 2M + M - .7 + 2M - 1.4 = 9.3
6M - 2.1 = 9.3
6M = 11.4
{{{highlight_green(matrix(1,10, M, or, price, of, each, medium, "=", 11.4/6, "=", "$1.90"))}}}
Cost of each jumbo: {{{highlight_green(matrix(1,3, 2(1.9), "=", "$3.80"))}}}
Cost of each small: {{{highlight_green(matrix(1,3, 1.90 - .70, "=", "$1.20"))}}}
Cost of each large: {{{highlight_green(matrix(1,3, 3.80 - 1.40, "=", "$2.40"))}}}
There it is!!! No COMPLEXITIES!