SOLUTION: A kilogram of milk chocolate sells for Php60, and a kilogram of bittersweet chocolate sells Php80. how many kilograms of each must be mixed to form 24 kilograms of an assortment se
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Question 1132365: A kilogram of milk chocolate sells for Php60, and a kilogram of bittersweet chocolate sells Php80. how many kilograms of each must be mixed to form 24 kilograms of an assortment selling of Php72.50 per kilogram? (use only one variable and thanks in advance) Answer by ikleyn(52870) (Show Source):
Let x be the amount of the Php80 chocolate in the mix (in kilograms).
Then the amount of the Php60 chocolate in the mix is the rest (24-x) kilograms.
The total cost of the mix then is 80x + 60*(24-x).
Per kilogram, the price of the mix is .
We want this price would be Php72.50 .
It gives you an equation
= 72.50.
To solve it, multiply both sides by 24 and then simplify step by step
80x + 60*(24-x) = 24*72.50
80x + 60*24 - 60x = 24*72.50
20x = 24*7250 - 24*60
x = = one click in Excel = 15.
Answer. 15 kilograms of the Php80 chocolate and 24-15 = 9 kilograms of the Php60 chocolate.
CHECK. = 72.50 Php. ! Precisely correct !
Solved.
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