Candies 26871

Clara mixed a mixture of candies of two types: Ham, ham candies at the price of CZK 210 per 1 kg, and Yum, Yum candies at CZK 150 per 1 kg. She mixed the candies so that the mixture of ham, ham, yum, and yum weighed 10 kg, and the price for 1 kg of the mix cost her 174 CZK per 1 kg. How many kg of each kind of candy did she use in the mix?

Correct answer:

a =  4
b =  6

Step-by-step explanation:


210a+150b = 174(a+b)
a+b = 10

210·a+150·b = 174·(a+b)
a+b = 10

36a-24b = 0
a+b = 10

Row 2 - 1/36 · Row 1 → Row 2
36a-24b = 0
1.67b = 10


b = 10/1.66666667 = 6
a = 0+24b/36 = 0+24 · 6/36 = 4

a = 4
b = 6

Our linear equations calculator calculates it.



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