MATHEMATICS MIDDLE SCHOOL

You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mix you can make?Trail Mix Recipe:
2 3/4 cups granola
1 1/3 cups peanuts

Please help and show how to solve..

Answers

Answer 1
Answer:

The correct answer is:


4 full batches.


Explanation:


To solve this, we need to see how many "servings" (the amount needed for the recipe) of granola and peanuts we have.


We have 12 cups of granola. We need 2 3/4 cups. We need to see how many 2 3/4 cup-sized "servings" there are in 12 cups. We do this by dividing:


12 ÷ 2 3/4


Write both of these as improper fractions:

12/1 ÷ 11/4


To divide fractions, flip the second one and multiply:

12/1 × 4/11 = 48/11 = 4 4/11


This means we have 4 full servings of granola.


We have 8 1/2 cups of peanuts. We need 1 1/3 cups. We need to see how many 1 1/3 cups-sized "servings" there are in 8 1/2 cups. We do this by dividing:


8 1/2 ÷ 1 1/3


We need to write both of these as improper fractions:

17/2 ÷ 4/3


To divide fractions, flip the second one and multiply:

17/2 × 3/4 = 51/8 = 6 3/8


We have 6 full servings of peanuts.


The greatest number of full batches we can make will be the smaller of the two full servings we have. We have 4 full servings of granola and 6 full servings of peanuts; we cannot make 6 full batches of trail mix, since we don't have enough granola. This means we can only make 4 full batches.
Answer 2
Answer: So for the granola, you divide 12 by 2.75 (2 3/4), and you get 4.36, but you can only make full batches, so its just 4. Then, for the Peanut, you divide 8.5 (8 1/2) by 1.3333 (1 1/3) and you get 6.4, so you round that to 6. But, you need the full recipe, so it can't be 6, because you only have enough granola for four batches. so the answer is four. Am I making any sense?

Related Questions

mora bought 3 bags of appkes for her class. one full bag has 8 apples, and each apple weighs 6 ounces. write a numerical expression to represent this situation.
The temperature dropped 2 degrees every hour for 6 hours what was the total number of degrees the temperature changes in he 6 hours
3 and 4 are both factors of 24. Find five more numbers with 3 and 4 as factors.
Please help me with this math question if you can.
Can someone tell me how

I was wondering if somebody could teach me Algebra easily. I am only in Elementary school but I can pick things up quickly. I am giving you ALL my thanks if you could do this for me!!

Answers

Algebra is just replacing numbers with symbols. Usually x and/or y. if x=3 then 5x=15. this is the basic idea of algebra is that you take real and imaginary numbers and make a symbol of it and find what he symbol mean.

algebra is numbers and variable's. You will learn a bit of it in 6th grade.you have to find x or do some other things.

https://www.youtube.com/watch?v=3vDoEVRS_7s

^^^ gives a good example I do Not own the video all rights go to the owner. its on you tube!

one -third of a 1 1/4 acre park has been reserved as dog park .find the number of acres that are used as a dog park

Answers

fractions:
1st fraction 1/3
2nd fraction 1 1/4 

converted mixed fraction into an improper fraction
1 1/4 = ((1*4)+1)/4 = 5/4

1/3 * 5/4 = 1*5 / 3*4 = 5/12

5/12 acre is the number of acres that is used as a dog park.

An object travels 4/5 miles in one half hour. What is the speed

Answers

The speed is 4/5 mile per half hour.
the speed would be:

4/5 x 2 = 8/5 miles for an hour

Nathan plants equal sized squares of sod in his front yard. Each square has an area of 6 square feet.Nathan plants a total of 1,000 squares in his yard.Whatis the total area of the squares of sod?

Answers

I THINK the answer is 6000 square feet because each one is 6 square feet and you have 1000 of them so 6 square feet times 1000 squares is 6000 square feet.

Answer this one please.

Answers

The slope should be 2/1

Carlos has 30 yards of plastic fencing to set up for a track meet he uses 85 feet of fencing how much fencing does he have left

Answers

There's 90 feet in 30 yards so 90 - 85 is 5
The first thing you need to know is that 1 yard = 3 feet. Therefore if he had 30 yards he had 90 feet of plastic fencing. From there all you have to do is take the 90 feet he has and subtract 85 feet he uses. That means Carlos has 5 feet of fencing left.
Other Questions
each student in ms sikes's kindergarten class has a box of crayons. each box has 36 crayons.if there are 18 students in ms sikes class how many crayons are there in all
Write 0.292929 as a fraction
*need to know in the next hour*teddy is preparing to sell some wooden blocks at a garage sale. before pricing individual bags of blocks, he decides to determine the approximate number of blocks per pound be researching the weights of different sets of blocks. the graph shows his data. about how many blocks are there per pound? round the the nearest block.
there are 40 girls in a computer club. the ratio of girls to boys is 2 to 5. How many boys are in the club? complete this table to find out.