SOLUTION: A grocer mixes chocolates worth 360 pesos per kilo with chocolate worth 400 pesos per kilo, making a mixture to sell at 372 pesos per kilo. If he mixes 50 kilos total, how many k

Question 1172688: A grocer mixes chocolates worth 360 pesos per kilo with chocolate worth 400 pesos per
kilo, making a mixture to sell at 372 pesos per kilo. If he mixes 50 kilos total, how many
kilos of each kind does he use?

Found 3 solutions by ikleyn, greenestamps, josgarithmetic:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

You may start from this system of 2 equations in two unknowns x + y = 50 kilograms (mass equation) 360x + 400y = 372*50 pesos. (money equation) You do the rest. Or, equivalently, you may start with one single equation 360x + 400*(50-x) = 372*50 (money equation) and easily solve it x = = 35. ANSWER. 35 kilo at 360 pesos per kilo and (50-35) = 15 kilo at 400 pesos per kilo.

Solved.

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

Here is a quick and easy alternative to the standard algebraic solution method shown by the other tutor.

(1) The price of the mixture per kilo, 372, is 12/40 = 3/10 of the way from 360 to 400, the prices per kilo of the two kinds of chocolates. (Look at the three numbers on a number line, if it helps....)

(2) That means 3/10 of the mixture is the more expensive chocolates.

ANSWER: 3/10 of 50 kilos = 15 kilos of the more expensive chocolates; the other 35 kilos of the less expensive.

CHECK:
15(400)+35(360) = 6000+12600 = 18600
50(372) = 18600

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
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A grocer mixes chocolates worth 360 pesos per kilo with chocolate worth 400 pesos per
kilo, making a mixture to sell at 372 pesos per kilo. If he mixes 50 kilos total, how many
kilos of each kind does he use?
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A grocer mixes chocolates worth L pesos per kilo with chocolate worth H pesos per
kilo, making a mixture to sell at T pesos per kilo. If he mixes M kilos total, how many
kilos of each kind does he use?
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y kilograms of the more expensive, H peso per kg chocolates
M-y of the less expensive chocolates

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, kg of the 400 peso per kg chocolates
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, kg of the 360 peso per kg chocolates
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