Question

A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts.

About 15.4% of the mixed nuts in a batch are pecans.
If a batch contains 77 pounds of pecans, how many pounds of mixed nuts are in a batch altogether?


Plz I need help fast and use part to whole =% out of 100 show work thx

Answer 1

500 lbs of mixed nuts

Explanation:

15.4% of mixed nuts = 77 lbs of pecans

Divide the weight of pecans by the percent of mixed nuts to find how many pounds of pecans equal 1% of the mixed nuts:

77 / 15.4 = 5, so 5 lbs equals 1% of mixed nuts

Now multiply that number by 100 to get 100% of mixed nuts:

5 x 100 = 500

Therefore, there are 500 lbs of mixed nuts in a batch altogether.

To check, 15.4% = 15.4/100 = 0.514

Therefore, 15.4% of 500 = 0.514 x 500 = 77

Thereby proving that 15.4% of 500 is 77.