Math
posted by Bob .
A candy store currently sells almonds for $8.50 per kilogram and peanuts for $4.50 per kilogram. It wants to create 20 kilograms of mixed nuts that will equivalently sell for $5.30 per kilogram. How many kilograms of almonds should they use?

almonds rate per kg is $8.50 , peanuts price per kg is $4.50 and avg price is $5.30
so subtract avg value from the given prices we will get the ratio of almonds to peanuts
8.505.30=3.2
and
5.304.50=0.8
so the ratio of almonds to peanuts is
3.2 : 0.8
but by the method the ratio gets flipped so the new ratio of almonds to peanuts is
0.8 : 3.2
using formula
0.8/3.2+0.8 *20
0.8/4 *20=4
4 kg is the right answer