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Today, 02:24

Mr. Flanders' class sold doughnuts for $1.35 each and Mr. Rodriquez's class sold cartons of milk for $1.08 each together the classes sold 85 items and earned $104.49 for their school. How many of each item did the classes sell?

A define the variables in this situation

B write a system of equations that model the problem

C use the linear combination method to find the solution to the solution to the system you wrote in part b show all your work

D using a complete sentence explain what the solution found in part c represents

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  1. Today, 02:39
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    Part A: Let, the number of doughnuts = x and the number of carton milk = y.

    Part B: We have, Mr. Flanders sold doughnut for $1.35 each and Mr. Rodriquez sold milk for $1.08 each.

    As, they sold 85 items in total.

    Thus, x + y = 85.

    Moreover, they both earned $104.49 in total.

    So, 1.35x + 1.08y = 104.49.

    Hence, we get the system of equations,

    1.35x + 1.08y = 104.49

    x + y = 85.

    Part C: Now, we will solve the system of equations,

    As, x + y = 85 ⇒ y = 85 - x.

    As, 1.35x + 1.08y = 104.49 ⇒ 1.35x + 1.08 (85-x) = 104.49 ⇒ 1.35x + 91.8 - 1.08x = 104.49 ⇒ 0.27x = 12.69 ⇒ x = 47.

    So, y = 85 - 47 ⇒ y = 38.

    Thus, x = 47 and y = 38 is the solution.

    Part D: Hence, we get that,

    Number of doughnuts sold by Mr. Flanders is 47 and the number of carton milk sold by Mr. Rodriquez is 38.
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