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.
Answers
Answer:
3 small to 1 large box
= 18 bars to 12 bars
= 30 bars
so there 3 lots of 30 in 90
ratio becomes 3 x 18 to 3 x 12 == 54 to 36
54 divided by 6 = 9 small
36 divided by 12 = 3 large
Step-by-step explanation:
Given,
Number of granola bars in the small box = 6
Number of granola bars in the large box = 12
The number of small boxes = three times the number of a large boxes
To Find,
The number of small boxes purchased =?
The number of large boxed purchased =?
Solution,
Let the number of large boxes be x
The number of small boxes = 3x
According to the question, number of bars in small boxes =6 * 3x
The number of bars in small boxes = 18x
The number of bars in large boxes = 12 *x
The number of bars in large boxes = 12x
Therefore, total bars = 90
18x + 12x = 90
30x = 90
x = 90 / 30
x = 3
The number of large boxed purchased = 3
The number of small boxes purchased = 3 * 3 = 9
Hence, the number of small boxes and large boxes purchased are 9 and 3 boxes respectively.