
To calculate:How many of each did they sell?

Answer to Problem 9E
At least 41 possibilities did they sell.
Explanation of Solution
Given information:Science club raised a total of $62.75
To solve 2 unknowns we need 2 equations.
Let the number of candy sold be C and the number of pretzels sold be P.
1st equation: profit is ($.25)C + ($.30)P = $62.75
We don’t have second equation.
Therefore, it can't solve directly, what that means is there can be a number of possible answers.
Such that,
5 candy bars and 205 pretzels
11 candy bars and 200 pretzels
17 candy bars and 195 pretzels
23 candy bars and 190 pretzels
29 candy bars and 185 pretzels
35 candy bars and 180 pretzels
41 candy bars and 175 pretzels
47 candy bars and 170 pretzels
53 candy bars and 165 pretzels
59 candy bars and 160 pretzels
65 candy bars and 155 pretzels
71 candy bars and 150 pretzels
77 candy bars and 145 pretzels
83 candy bars and 140 pretzels
89 candy bars and 135 pretzels
95 candy bars and 130 pretzels
101 candy bars and 125 pretzels
107 candy bars and 120 pretzels
113 candy bars and 115 pretzels
119 candy bars and 110 pretzels
And so on
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