Question

The weight of meteorite A is 2 times the weight of meteorite B. If the sum of their weights is 69 ​tons, find the weight of each.

Answer 1

Answer:

Meteorite A= 46  Meteorite B = 23

Step-by-step explanation:

We can solve this problem by making an equation in which we add the weights, A + B = 69

We are told that A is equal to 2 times the weight of meteorite B, in other words, A is equal to 2B

We can make this into an equation and solve for B'

• A + B = 69
• 2B + B = 69            Substitute A for 2B
• 3B = 69                   Add like terms
• $\frac{3}{3}$ B = $\frac{69}{3\\}$                   Divide each side by 3 to isolate the B
• B= 23

In order to solve for A, we simply input B=23 into 2B

• A = 2B
• A = 2(23)
• A = 46

Check:

A + B = 69

46+23 = 69

69 = 69