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

2 months 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 [11.8K] · 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 [12.3K] · 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.