Please show me the steps to solve this problem: The total shipping weight of two crates is 358 pounds. One crate weighs 124 pounds more than the other. What does eah crate weigh?
Let x = the lighter crate.
x + x + 124 = 358
2x = 358 - 124
2x = 234
x = 117
303 & 55
To solve this problem, we can start by setting up a system of equations based on the given information.
Let's assume that one crate weighs "x" pounds. The other crate weighs 124 pounds more, so its weight would be "x + 124" pounds.
According to the problem, the total shipping weight of the two crates is 358 pounds. So, we can write the equation:
x + (x + 124) = 358
Now, we can simplify and solve for "x".
2x + 124 = 358
Subtracting 124 from both sides:
2x = 234
Next, divide both sides by 2:
x = 117
So, one crate weighs 117 pounds.
To find the weight of the other crate, we substitute this value of x back into the expression "x + 124":
117 + 124 = 241
Therefore, the second crate weighs 241 pounds.
In conclusion, one crate weighs 117 pounds and the other crate weighs 241 pounds.