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.

Question

contestada

Respuesta :

frika frika · Answer 1 · 2019-10-21T16:55:25+02:00

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]