On a truck

Two types of barrels were loaded onto a truck: larger ones weighing 50 kg each and smaller ones weighing 20 kg each. A total of 120 barrels were loaded and their combined weight was 3,300 kg. Calculate how many larger barrels were loaded onto the truck. Determine the total weight of all the smaller barrels on the truck in kg.

Final Answer:

a =  30
s =  1800 kg

Step-by-step explanation:

50a+20b = 3300
a+b = 120

50·a+20·b = 3300
a+b = 120

50a+20b = 3300
a+b = 120

Row 2 - 1/50 · Row 1 → Row 2
50a+20b = 3300
0.6b = 54


b = 54/0.6 = 90
a = 3300-20b/50 = 3300-20 · 90/50 = 30

a = 30
b = 90

Our linear equations calculator calculates it.

$s=20\cdot b=20\cdot 90=1800\text{kg}$

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