Question
A student has 5 bags of marbles. Each bag originally contains m marbles. After adding 10 marbles to each bag, there are a total of 80 marbles. Which equation can be solved to determine how many marbles were originally in each bag?
A. 10(m+5)=80
B. 5(m+10)=80
C.10m+5=80
D.5m+10=80
A. 10(m+5)=80
B. 5(m+10)=80
C.10m+5=80
D.5m+10=80
Answers
GPT-4o mini
To find the equation that represents the situation described, let's break it down step by step.
1. Each of the 5 bags originally contains \( m \) marbles. Therefore, the total number of marbles initially is \( 5m \).
2. After adding 10 marbles to each bag, the number of marbles in each bag becomes \( m + 10 \).
3. The total number of marbles after adding the 10 marbles to each of the 5 bags can be expressed as \( 5(m + 10) \).
4. According to the problem, this total equals 80. Therefore, we can set up the equation:
\[
5(m + 10) = 80
\]
This is exactly the option B provided in your question.
The correct answer is:
**B. \( 5(m+10) = 80 \)**
1. Each of the 5 bags originally contains \( m \) marbles. Therefore, the total number of marbles initially is \( 5m \).
2. After adding 10 marbles to each bag, the number of marbles in each bag becomes \( m + 10 \).
3. The total number of marbles after adding the 10 marbles to each of the 5 bags can be expressed as \( 5(m + 10) \).
4. According to the problem, this total equals 80. Therefore, we can set up the equation:
\[
5(m + 10) = 80
\]
This is exactly the option B provided in your question.
The correct answer is:
**B. \( 5(m+10) = 80 \)**