Answer:
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.
