Two trains, Train A and Train B, weigh a total of 243 tons. Train A is heavier than Train B. The difference of their weights is 87 tons. What is the weight of each train?

Train A weighs 156 tons, and Train B weighs 78 tons.

Step-by-step explanation:

Given that two trains, Train A and Train B, weigh a total of 243 tons, and Train A is heavier than Train B, with a difference of their weights of 87 tons, to determine what is the weight of each train, the following calculation has to be done:

(243 - 87) / 2 = B

156/2 = B

78 = B

243 - 87 = A

156 = A

Therefore, Train A weighs 156 tons, and Train B weighs 78 tons.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204