Weighing 15943

A bag of red candies weighing 200 g is sold for CZK 18, and the same amount of blue candies for CZK 12. Create a mixture of sweets for CZK 8 per 100 g.

Correct answer:

a =  66.6667 g
b =  33.3333 g
r =  2:1

Step-by-step explanation:


18/200·a + 12/200·b = 8/100·(a+b)
a+b=100

2a-4b = 0
a+b = 100

Row 2 - 1/2 · Row 1 → Row 2
2a-4b = 0
3b = 100


b = 100/3 = 33.33333333
a = 0+4b/2 = 0+4 · 33.33333333/2 = 66.66666667

a = 200/3 ≈ 66.666667
b = 100/3 ≈ 33.333333

Our linear equations calculator calculates it.
r=200/100=2=2:1



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