Students put 2 1/4 pounds of trail mix into bags that each weigh 3/8 pound. They bring 2/3 of the bags on a hiking trip how many bags are left over?
(9/4)/(3/8)
(9/4) * (8/3) = 72/12 = 6
(1/3) * 6 = 2 bags left over
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where did 1/3 come from?
thank you so much it helped and now i understand
where did the 1/3 com from ?????????????????????????????????????????????????????????????????????????????????
3/3-2/3=1/3
To find out how many bags are left over, we need to calculate the total weight of the trail mix and then divide it by the weight of each bag.
Let's start by finding the total weight of the trail mix. The students put in 2 1/4 pounds of trail mix. We can convert the mixed number to an improper fraction:
2 1/4 pounds = (8/4 + 1/4) pounds = 9/4 pounds
Next, we need to subtract the weight of each bag from the total weight of the trail mix. Each bag weighs 3/8 pound.
To calculate the total number of bags, we divide the total weight of the trail mix by the weight of each bag and then multiply it by the fraction of bags brought on the hiking trip.
Total number of bags = (Total trail mix weight - Weight of each bag) ÷ Fraction of bags brought
Total trail mix weight = 9/4 pounds
Weight of each bag = 3/8 pound
Fraction of bags brought = 2/3
Total number of bags = (9/4 - 3/8) ÷ (2/3)
To subtract fractions, we need to have a common denominator. The least common denominator of 4 and 8 is 8, so we multiply the numerator and denominator of the first fraction (9/4) by 2:
Total number of bags = (18/8 - 3/8) ÷ (2/3)
Now, we can subtract the fractions:
Total number of bags = (15/8) ÷ (2/3)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
Total number of bags = (15/8) * (3/2)
Multiply the numerators together and multiply the denominators together:
Total number bags = (15 * 3) / (8 * 2)
Total number bags = 45 / 16
Since we cannot have a fraction of a bag, we need to round up to the nearest whole number. Therefore, the number of bags left over is 3.