Question

Austin has a granola recipe that requires 5/6 pounds ofoats to make one batch of granola. If Austin uses 2 1/2pounds of oats while making granola, how manybatches has he made?

Answer 1

Austin has made three full batches of granola by using 2 1/2 pounds of oats, after converting both quantities into the same unit (ounces) and dividing the total amount used by the amount required per batch.

Step-by-step explanation:

Austin has made three batches of granola using 2 1/2 pounds of oats.

Step-by-step explanation:

1. First, convert 2 1/2 pounds to ounces to have the same unit of measurement by multiplying 2.5 (which is 2 1/2 in decimal form) by 16 (since there are 16 ounces in one pound), resulting in 40 ounces.
2. Next, we convert 5/6 pounds of oats needed for one batch into ounces by multiplying 5/6 by 16, getting approximately 13.33 ounces.
3. Finally, divide the total ounces of oats used by the ounces per batch to find out how many batches Austin has made: 40 / 13.33, which equals 3 (when rounded down to the nearest whole number).

To determine how many batches Austin has made, we need to find the number of batches that can be made with 2 1/2 pounds of oats. Austin's recipe requires 5/6 pounds of oats per batch. To find how many batches can be made, we divide 2 1/2 by 5/6:

2 ½ ÷ 5/6 = 5/2 ÷ 5/6 = 5/2 × 6/5 = 15/10 = 1 ½

Therefore, Austin has made 1 ½ batches of granola with 2 1/2 pounds of oats.