Final answer:
To find the weights of two meteorites A and B where A weighs 7 times that of B, and their combined weight is 152 tons, we solve the equation 7B + B = 152 to get B = 19 tons and A = 133 tons.
Step-by-step explanation:
The question involves solving a system of linear equations to find the weight of two meteorites, A and B. According to the problem, the weight of meteorite A is 7 times the weight of meteorite B. The sum of their weights is 152 tons. To solve for the individual weights, we can set up two equations based on the information provided:
Let the weight of meteorite B be represented by B.
The weight of meteorite A is then 7B since it is 7 times the weight of B.
The sum of their weights is A + B = 152 tons, which becomes 7B + B = 152 tons.
We can then combine the like terms and solve the equation:
8B = 152 tons
B = 152 tons / 8
B = 19 tons
Now that we know the weight of meteorite B, we can find the weight of meteorite A:
A = 7B
A = 7 * 19 tons
A = 133 tons
Therefore, meteorite A weighs 133 tons and meteorite B weighs 19 tons.