Chocolates 7429

They delivered 75 kg of chocolates to 214 candy boxes at the Orion plant. Some weighed 500g, others 250g. How many boxers were there?

Correct answer:

a =  86
b =  128

Step-by-step explanation:


a+b=214
0.500 a + 0.250b = 75

a+b=214
0.500·a + 0.250·b = 75

a+b = 214
0.5a+0.25b = 75

Row 2 - 0.5 · Row 1 → Row 2
a+b = 214
-0.25b = -32


b = -32/-0.25 = 128
a = 214-b = 214-128 = 86

a = 86
b = 128

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