Jeremy's fruit stand sells peaches and watermelons. In the first hour the fruit stand is open, 12 bushels of peaches and 5 watermelons are sold for a total of $150. In the second hour, 15 bushels of peaches and 8 watermelons are sold for a total of $198. A bushel of peaches costs p dollars, and a watermelon costs w dollars. Which matrix equation represents the situation?

Question

Derick Andersen

Mathematics

5 September, 07:50

Jeremy's fruit stand sells peaches and watermelons. In the first hour the fruit stand is open, 12 bushels of peaches and 5 watermelons are sold for a total of $150. In the second hour, 15 bushels of peaches and 8 watermelons are sold for a total of $198. A bushel of peaches costs p dollars, and a watermelon costs w dollars. Which matrix equation represents the situation?

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Answers (1)

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Nola Merritt · Answer 1

We define the variables:

p: cost of bushel of peaches

w: cost of watermelon

We wrote the system of equations:

12p + 5w = 150

15p + 8w = 198

We can represent the system in matrix form as

Ax = b

Where,

A = [12 5; 15 8]

b = [150; 198]

x = [p; w]