The manager of a candy store wants to prepare 200kg of a mixture for a Halloween promotion to sell at $4.84 per kg. How much $4 per kg candy should be combined with $5.20 per kg candy for the required mix? PLEASE SHOW WORK AND EXPLAIN.
Answers
Given : The manager of a candy store wants to prepare 200kg of a mixture for a Halloween promotion to sell at $4.84 per kg.
To find : How much $4 per kg candy should be combined with $5.20 per kg candy for the required mix
Solution:
Total Mixture = 200 kg
Price = 4.84 $ per kg
Total amount = 200 * 4.84 = 968 $
Let say $4 per kg candy = C kg
then $5.2 per kg candy = 200 - C kg
Total Price = 4C + 5.2(200 - C)
= 1040 - 1.2C $
1040 - 1.2C = 968
=> 1.2C = 72
=> C = 60
200 - C = 140
$4 per kg candy = 60 kg
$5.2 per kg candy = 140 kg
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