# Math

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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?

• Math -

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

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