Question
The combined weight of two packages is 14.5 pounds. One package weighs 2.5 pounds more than the other package. What is the weight of the lighter package?
A. 5.5 lb
B. 6lb
C. 7.5 lb
D. 8lb
A. 5.5 lb
B. 6lb
C. 7.5 lb
D. 8lb
Answers
GPT-4o mini
Let the weight of the lighter package be \( x \) pounds. Then, the weight of the heavier package will be \( x + 2.5 \) pounds.
According to the problem, the combined weight of both packages is 14.5 pounds. Therefore, we can set up the following equation:
\[
x + (x + 2.5) = 14.5
\]
Simplifying the equation:
\[
2x + 2.5 = 14.5
\]
Next, subtract 2.5 from both sides:
\[
2x = 14.5 - 2.5
\]
\[
2x = 12
\]
Now, divide by 2:
\[
x = 6
\]
So, the weight of the lighter package is **6 pounds**.
Thus, the answer is **B. 6 lb**.
According to the problem, the combined weight of both packages is 14.5 pounds. Therefore, we can set up the following equation:
\[
x + (x + 2.5) = 14.5
\]
Simplifying the equation:
\[
2x + 2.5 = 14.5
\]
Next, subtract 2.5 from both sides:
\[
2x = 14.5 - 2.5
\]
\[
2x = 12
\]
Now, divide by 2:
\[
x = 6
\]
So, the weight of the lighter package is **6 pounds**.
Thus, the answer is **B. 6 lb**.