Hello, can someone please help us solve. Very confused by this one.
Carlos made trail mix using 2 cups peanuts, 1 1/2 cups M&M's 1 1/4 cups pretzels and 1 1/14 cup raisins. How many cups of trail mix will this recip. make. and if he divides it evenly into 12 bags, how many cups of trail mix will be in each bag. This recipe is a 12 serving recipe. Please help!!!!
First, add the ingredients:
2 + 1 1/2 + 1 1/4 + 1 1/14 = ?
Divide the sum by 12 to find the amount in each bag.
Also, please double check the amount of raisins used.
To solve this problem, we need to find the total amount of trail mix made and then divide it by the number of bags to find out how much trail mix goes into each bag.
1. Start by adding up the amounts of each ingredient:
- 2 cups of peanuts
- 1 1/2 cups of M&M's
- 1 1/4 cups of pretzels
- 1 1/14 cups of raisins
2. To add the fractions, we need to find a common denominator:
- The denominators in the fractions are 2, 2, 4, and 14.
- The common denominator is 28 (the least common multiple of 2, 4, and 14).
3. Convert the fractions to have a denominator of 28:
- 2 cups of peanuts = (2/2) * (14/14) = 28/28
- 1 1/2 cups of M&M's = (1/2) * (14/14) = 14/28
- 1 1/4 cups of pretzels = (1/4) * (7/7) = 7/28
- 1 1/14 cups of raisins = (1/14) * (2/2) = 2/28
4. Add up the converted fractions:
- 28/28 + 14/28 + 7/28 + 2/28 = 51/28
So, Carlos made a total of 51/28 cups of trail mix.
5. To divide the trail mix evenly into 12 bags, we need to divide 51/28 by 12:
- (51/28) ÷ 12 = (51/28) * (1/12) = 51/336
Therefore, each bag will have approximately 51/336 cups of trail mix.
Note: The final answer is an approximate value because fractions cannot always be divided evenly.