In one hour, a bakery sold 5 muffins and 9 bagels for total of $25.50. The next hour, the bakery sold 3 muffins and 12 bagels for a total of $28.50. Let m represent the price of one muffin and b represent the cost of one bagel. Draco wrote the following system of linear equations to solve for the cost of each item. 5 m plus 9 b is equal to 28 point 5 0 3 m plus 12 b is equal to 25 point 5 0 What is Draco’s error?
Answer
A
Draco should have written the second equation as 5 m plus 12 b is equal to 28 point 5 0 .
B
Draco should have written the first equation as 3 m plus 9 b is equal to 25 point 5 0 .
C
Draco should have written 9 b in the second equation and 12 b in the first equation.
D
Draco should have set the first equation equal to 25 point 5 0 and the second equation equal to 28 point 5 0 .
Explanation
The first hour’s sales were 5 muffins and 9 bagels for $25.50, so the first equation should be 5m + 9b = 25.50. The second hour’s sales were 3 muffins and 12 bagels for $28.50, so the second equation should be 3m + 12b = 28.50. Draco used the right quantities but matched each total to the wrong equation; choice D describes the correction.
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