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

Answer:The number of small boxes is 9 and the number of large boxes is 3Step-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]