A group of hikers buys 5 bags of mixed nuts altogether. Each bag contains 2 1/2 cups of mixed nuts. The mixed nuts are than shared evenly between the 8 hikers. How many cups of mixed nut will each hiker get. Show your work.
(5 * 2 1/2)/8 = 25/16
To find out how many cups of mixed nuts each hiker will get, we need to divide the total number of cups of mixed nuts by the number of hikers.
First, let's calculate the total number of cups of mixed nuts:
5 bags * 2 1/2 cups = 5 * 5/2
5 * 5/2 = 25/2 cups
Now, let's divide the total cups of mixed nuts by the number of hikers:
(25/2) cups ÷ 8 hikers
To divide fractions, we multiply the dividend by the reciprocal of the divisor:
(25/2) cups * (1/8) hiker
Multiplying the numerators together will give us the final answer:
25/2 * 1/8 = 25/16
Therefore, each hiker will receive 25/16 cups of mixed nuts.
To find out how many cups of mixed nuts each hiker will get, we can follow these steps:
Step 1: Calculate the total number of cups of mixed nuts.
To do this, we need to multiply the number of bags by the amount of mixed nuts in each bag. In this case, there are 5 bags and each bag contains 2 1/2 cups of mixed nuts.
Total cups of mixed nuts = (Number of bags) × (Amount of mixed nuts in each bag)
= 5 bags × 2 1/2 cups per bag
Step 2: Convert the mixed number to an improper fraction.
In this case, the mixed number is 2 1/2, which can be written as an improper fraction: 5/2 cups.
Step 3: Multiply the number of bags by the amount of mixed nut in each bag.
Now we can calculate the total cups of mixed nuts:
Total cups of mixed nuts = 5 bags × 5/2 cups per bag
= (5 × 5) / (2 × 1) cups
= 25/2 cups
= 12 1/2 cups
Step 4: Divide the total number of cups of mixed nuts by the number of hikers to find the amount each hiker will get.
We need to divide the total cups of mixed nuts by the number of hikers, which is 8 in this case:
Amount per hiker = Total cups of mixed nuts / Number of hikers
= 12 1/2 cups / 8 hikers
Now, we divide the mixed number by the number of hikers:
12 1/2 cups / 8 hikers = (12 cups + 1/2 cup) / 8 hikers
= 12/8 cups + 1/2 cup / 8 hikers
= 1 1/2 cups / 8 hikers
Therefore, each hiker will get 1 1/2 cups of mixed nuts.