Q:

A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of plain cookies ($0.75 each). Altogether, she sold 1585 boxes for a combined value of $1588.75. How many boxes of plain cookies did she sell?

Accepted Solution

A:
Answer:Number of plain cookie boxes sold = 785 boxesStep-by-step explanation:Given: Cost of a chocolate chip cookie box = $1.25Cost of a plain cookie box = $0.75Total number of boxes sold = 1585Total cost of the sold boxes = $1588.75Let, number of plain cookie boxes sold = xNumber of chocolate chip cookie boxes sold = 1585 - xSo,Total cost = total cost of the sold plain cookie boxes + total cost of the sold chocolate chip cookie boxes$1588.75 = x ($0.75) + (1585 - x) ($1.25)1588.75 = 0.75 x + 1981.25 - 1.25 x0.5 x = 392.5Therefore,Number of plain cookie boxes sold: x = 392.5 Γ· 0.5 = 785 boxes