Individual 3276

There are 2,600 moldings in stock. They are to be divided into 3 workshops so that in hall 1, there are 400 moldings less than in hall 2, and in hall 2, there are 300 moldings more than in the third hall. How many moldings are delivered to individual halls?

Correct answer:

a =  700
b =  1100
c =  800

Step-by-step explanation:


a+b+c=2600
a = b-400
b = c+300

a+b+c = 2600
a-b = -400
b-c = 300

Row 2 - Row 1 → Row 2
a+b+c = 2600
-2b-c = -3000
b-c = 300

Row 3 - 1/-2 · Row 2 → Row 3
a+b+c = 2600
-2b-c = -3000
-1.5c = -1200


c = -1200/-1.5 = 800
b = -3000+c/-2 = -3000+800/-2 = 1100
a = 2600-b-c = 2600-1100-800 = 700

a = 700
b = 1100
c = 800

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