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Easy

Question

A farmer sold 108 pounds of produce that consisted of z pounds of zucchini and c pounds of cucumbers. The farmer sold the zucchini for $ 1.69 per pound and the cucumbers for $ 0.99 per pound and collected a total of $ 150.32. Which of the following systems of equations can be used to find the number of pounds of zucchini that were sold?

  1. z + c = 150.32 1.69z + 0.99c = 108
  2. z + c = 108 1.69z + 0.99c = 150.32
  3. z + c = 108 0.99z + 1.69c = 150.32
  4. z + c = 150.32 0.99z + 1.69c = 108

The correct answer is: z + c = 108
1.69z + 0.99c = 150.32


    HINT: Frame the equations from the information provided.
    Total price for which the farmer sold both zucchini and cucumbers in pounds = 108
    Price for which the farmer sold zucchini in pounds = z
    Price for which the farmer sold cucumbers in pounds = c
    From this, we get the equation z + c = 108…(i)
    Price for which zucchini was sold in dollars = $1.69 per pound
    This can be written as 1.69z
    Price for which cucumber was sold in dollars = $0.99 per pound
    This can be written as 0.99c
    Total amount collected after the sale = $ 150.32
    From this, we get the equation 1.69z + 0.99c = 150.32…(ii)
    From (i) and (ii), we have 2 equations.
    z + c = 108 and 1.69z + 0.99c = 150.32
    Hence option B is the correct answer.

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