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 mi

Question

Vlada

19 days ago

13

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 mi

x you can make?
Trail Mix Recipe:
2 3/4 cups granola
1 1/3 cups peanuts

Please help and show how to solve..

Mathematics

2 answers:

babunello [8.4K] · Answer 1 · 2026-03-08T17:51:48+03:00

For the granola, you calculate 12 divided by 2.75 (which is 2 3/4), resulting in 4.36, but since only whole batches can be created, it is rounded down to 4. For peanuts, dividing 8.5 (8 1/2) by 1.3333 (which is 1 1/3) gives 6.4, which rounds to 6. However, because the recipe requires both ingredients, only 4 batches can be made as the granola is the limiting factor. Does that make sense?

tester [8.8K] · Answer 2 · 2026-03-08T17:54:57+03:00

The correct answer is:

4 complete batches.

Explanation:

To determine this, we need to find out how many "servings" (the required amounts for the recipe) of granola and peanuts we possess.

We have 12 cups of granola, needing 2 3/4 cups per serving. To discover how many servings fit in 12 cups, perform the following division:

12 ÷ 2 3/4

Convert these to improper fractions:

12/1 ÷ 11/4

To divide fractions, invert the second and multiply:

12/1 × 4/11 = 48/11 = 4 4/11

This indicates that there are 4 full servings of granola.

For peanuts, we have 8 1/2 cups and need 1 1/3 cups per serving. Again, we'll divide to find how many servings fit into 8 1/2 cups:

8 1/2 ÷ 1 1/3

Convert these fractions to improper ones:

17/2 ÷ 4/3

Inverting and multiplying gives us:

17/2 × 3/4 = 51/8 = 6 3/8

Thus, we can prepare 6 full servings of peanuts.

To determine the maximum number of complete batches, we take the lower number of full servings available. We can make 4 servings of granola and 6 of peanuts, implying we can only produce 4 full batches due to insufficient granola.