Weighing 8299

In the second truck, the load was 20% heavier than in the first, and in the third, the load weight was 20% less than in the second. In total, the trucks carried a load weighing 15.8 tons. How much did each cost weigh?

Correct answer:

a =  5
b =  6
c =  4.8

Step-by-step explanation:


b = 1.20 · a
c = 0.80 · b
a+b+c = 15.8

1.2a-b = 0
0.8b-c = 0
a+b+c = 15.8

Row 3 - 1/1.2 · Row 1 → Row 3
1.2a-b = 0
0.8b-c = 0
1.833b+c = 15.8

Pivot: Row 2 ↔ Row 3
1.2a-b = 0
1.833b+c = 15.8
0.8b-c = 0

Row 3 - 0.8/1.83333333 · Row 2 → Row 3
1.2a-b = 0
1.833b+c = 15.8
-1.436c = -6.895


c = -6.89454545/-1.43636364 = 4.8
b = 15.8-c/1.83333333 = 15.8-4.8/1.83333333 = 6
a = 0+b/1.2 = 0+6/1.2 = 5

a = 5
b = 6
c = 24/5 = 4.8

Our linear equations calculator calculates it.



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