On a truck

Two types of barrels were loaded on a truck, a larger one weighing 50 kg and a smaller one weighing 20 kg. A total of 120 barrels were loaded on the truck and their combined weight was 3300 kg. Calculate how many larger barrels were loaded on the truck in total. Determine the sum of the weights of all the smaller barrels on the truck in kg.

Correct 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.

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

Try another example