Question

Dois trens, Tran A e Trem B, pesam um total de 466 toneladas. O trem A é mais pesado que o trem B. A diferença de seus pesos é de 332 toneladas. Qual é o peso de cada trem? Pesos Train A

Answer 1

The given situation can be written as a system of equations:

If x is the weight of train A and y the weight of train B, you have:

x + y = 466 both weight a total of 466 ton

y - x = 332 the difference in their weights is 332 ton

solve the previous system as follow:

Solve the first equation for x:

x = 466 - y

replace the previous expression for x into the second equation and solve for y:

y - (466 - y) = 332

y - 466 + y = 332 simplify like terms left side

2y - 466 = 332 add 466 both sides

2y = 332 + 466

2y = 798 divide by 2 both sides

y = 798/2

y = 399

next, repalace the previous value of y into the expression x = 466 - y:

x = 466 - 399

x = 67

Hence, the weight of train A is 67 ton and the weitgh of train B is 399 ton