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A summer camp is organizing a hike and needs to buy granola bars for the
campers. The granola bars come in small boxes and large boxes. Each small
box has 6 granola bars and each large box has 12 granola bars. The camp
bought 3 times as many small boxes as large boxes, which altogether had 90
granola bars. Determine the number of small boxes purchased and the
number of large boxes purchased.

Respuesta :

frika

Answer:

The number of small boxes is 9 and the number of large boxes is 3

Step-by-step explanation:

Let x be the number of large boxes.

The camp bought 3 times as many small boxes as large boxes, then the number of small boxes is 3x.

Each small box has 6 granola bars, then there are [tex]6\cdot 3x=18x[/tex] granola bars in 3x small boxes.

Each large box has 12 granola bars, then there are [tex]12x[/tex] granola bars in x large boxes.

All boxes had 90 granola bars, so

[tex]18x+12x=90\\ \\30x=90\\ \\x=3\\ \\3x=9[/tex]

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