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Our school bought 300 Pencils for $75. They came in boxes of 12 Pencils. How much did each box cost?

Our school bought $300$ Pencils for $\$75$ . They came in boxes of $12$ Pencils. How much did each box cost?

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Ratio and Quadratic equation

Full solution

Q. Our school bought

300

Pencils for

\$75

. They came in boxes of

12

Pencils. How much did each box cost?

Calculate total number of boxes: Calculate the total number of boxes by dividing the total number of pencils by the number of pencils in each box. $\newline$ Total pencils = $300$ $\newline$ Pencils per box = $12$ $\newline$ $\text{Total boxes} = \frac{\text{Total pencils}}{\text{Pencils per box}}$ $\newline$ Total boxes = $\frac{300}{12}$ $\newline$ Total boxes = $25$
Calculate cost per box: Calculate the cost of each box by dividing the total cost by the number of boxes. $\newline$ Total cost = $\$75$ $\newline$ Number of boxes = $25$ $\newline$ $\text{Cost per box} = \frac{\text{Total cost}}{\text{Number of boxes}}$ $\newline$ Cost per box = $\frac{75}{25}$ $\newline$ Cost per box = $\$224$

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