In the first hour after opening, a coffee shop used 5 2/3 pounds of unflavored coffee. The shop used

2 1/2 times as much flavored coffee as unflavored. How many pounds of flavored coffee did the shop use?

My Answer: 14 1/6

Can someone please check this for me? If it is wrong then can someone please show me how to solve this correctly? Thank you!

Right

Okay, Thank you so much!!!

You are very welcome.

To find the amount of flavored coffee used, we need to multiply the amount of unflavored coffee by 2 1/2. Here's how to do it:

1. Convert 5 2/3 pounds to an improper fraction:
5 2/3 = (5 x 3 + 2) / 3 = 17/3 pounds

2. Multiply the amount of unflavored coffee by 2 1/2:
17/3 x 2 1/2 = 17/3 x 5/2

To multiply fractions, multiply the numerators together and the denominators together:
= (17 x 5) / (3 x 2)
= 85 / 6

3. Convert the mixed number to an improper fraction and simplify, if necessary:
85 / 6 = 14 1/6

Therefore, the coffee shop used 14 1/6 pounds of flavored coffee.