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
8.50-5.30=3.2
and
5.30-4.50=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
To find out how many kilograms of almonds should be used, we need to set up an equation based on the given information.
Let's assume x represents the number of kilograms of almonds. Since we want to create 20 kilograms of mixed nuts, the quantity of peanuts will be 20 - x kilograms.
The price per kilogram of almonds is $8.50, and the price per kilogram of peanuts is $4.50. We want the mixed nuts to be sold at $5.30 per kilogram.
Now we can set up the equation:
(x * $8.50) + ((20 - x) * $4.50) = 20 * $5.30
This equation represents the total cost of almonds plus the total cost of peanuts equal to the total cost of the mixed nuts.
Let's solve the equation step by step:
8.50x + 4.50(20 - x) = 5.30 * 20
8.50x + 90 - 4.50x = 106
4x = 16
x = 4
So, they should use 4 kilograms of almonds to create the mix.