Question
amari went to the mall and spent $47 he bought one shirt for $26 and he bought 3 pairs of socks each pair of socks cost the same amount of money.
write an equation that can be used to find the cost of each pair of socks.
2. how much does each sock cost?
write an equation that can be used to find the cost of each pair of socks.
2. how much does each sock cost?
Answers
Answer
write the equation
Answer
write an equation that can be used to find the cost of each pair of socks. for example 3x(4+y)
Answer
can you write an equation that can be used to find amount of money each pair of socks cost.
Answer
solve the following equation for x
4x-6=8
4x-6=8
Answer
mattew and anthony each have a video game collection
the number of video games in matthew's collection can be represented by x.
the number of video games in anthony's collection is 5 times the number in matthew's collection
what is x, the number of video games in matthew's collection
the number of video games in matthew's collection can be represented by x.
the number of video games in anthony's collection is 5 times the number in matthew's collection
what is x, the number of video games in matthew's collection
Answered by
GPT-4o mini
To find the cost of each pair of socks, we can define the cost of each pair of socks as \( x \).
Amari's total expenditure was $47, which he spent on one shirt costing $26 and 3 pairs of socks costing \( 3x \) (since he bought 3 pairs).
We can set up the equation as follows:
\[
26 + 3x = 47
\]
Now, we can solve for \( x \).
1. Subtract 26 from both sides:
\[
3x = 47 - 26
\]
\[
3x = 21
\]
2. Divide both sides by 3 to find \( x \):
\[
x = \frac{21}{3}
\]
\[
x = 7
\]
Thus, each pair of socks costs $7.
To find the cost of each sock, we divide the cost of a pair of socks by 2 (since there are 2 socks in each pair):
\[
\text{Cost of each sock} = \frac{7}{2} = 3.5
\]
So each sock costs $3.50.
Amari's total expenditure was $47, which he spent on one shirt costing $26 and 3 pairs of socks costing \( 3x \) (since he bought 3 pairs).
We can set up the equation as follows:
\[
26 + 3x = 47
\]
Now, we can solve for \( x \).
1. Subtract 26 from both sides:
\[
3x = 47 - 26
\]
\[
3x = 21
\]
2. Divide both sides by 3 to find \( x \):
\[
x = \frac{21}{3}
\]
\[
x = 7
\]
Thus, each pair of socks costs $7.
To find the cost of each sock, we divide the cost of a pair of socks by 2 (since there are 2 socks in each pair):
\[
\text{Cost of each sock} = \frac{7}{2} = 3.5
\]
So each sock costs $3.50.
Answered by
GPT-4o mini
The equation that can be used to find the cost of each pair of socks is:
\[
26 + 3x = 47
\]
Where:
- \( 26 \) is the cost of the shirt,
- \( 3 \) is the number of pairs of socks,
- \( x \) is the cost of each pair of socks,
- \( 47 \) is the total amount spent by Amari.
\[
26 + 3x = 47
\]
Where:
- \( 26 \) is the cost of the shirt,
- \( 3 \) is the number of pairs of socks,
- \( x \) is the cost of each pair of socks,
- \( 47 \) is the total amount spent by Amari.
Answered by
GPT-4o mini
Certainly! If you're looking to represent the situation with a more complex equation reflecting the number of pairs of socks and the total expenditure, one possible equation could be written in a format like this:
\[
3x + 26 = 47
\]
However, if you prefer to use a structure similar to your example \( 3x(4+y) \), we could interpret \( 4+y \) as possibly representing some additional cost component or another variable.
For example, if we define \( y \) as the added cost per item (like tax or a discount percentage), then we could come up with:
\[
3x(1 + y) + 26 = 47
\]
This represents that Amari buys 3 pairs of socks at a base cost of \( x \), modified by a factor \( (1 + y) \) to account for that additional cost, plus the shirt costing $26.
However, please clarify how you would like to use variables \( 4 \) and \( y \) specifically if you have a different context in mind!
\[
3x + 26 = 47
\]
However, if you prefer to use a structure similar to your example \( 3x(4+y) \), we could interpret \( 4+y \) as possibly representing some additional cost component or another variable.
For example, if we define \( y \) as the added cost per item (like tax or a discount percentage), then we could come up with:
\[
3x(1 + y) + 26 = 47
\]
This represents that Amari buys 3 pairs of socks at a base cost of \( x \), modified by a factor \( (1 + y) \) to account for that additional cost, plus the shirt costing $26.
However, please clarify how you would like to use variables \( 4 \) and \( y \) specifically if you have a different context in mind!
Answered by
GPT-4o mini
Certainly! To find the cost of each pair of socks, we can write the equation directly. Given that Amari spent a total of $47, bought one shirt for $26, and purchased 3 pairs of socks, we can use the following equation:
\[
3x + 26 = 47
\]
Where:
- \( x \) is the cost of each pair of socks.
- \( 26 \) is the cost of the shirt.
- \( 47 \) is the total amount spent.
This equation can be rearranged to find \( x \) (the cost of each pair of socks):
\[
3x = 47 - 26
\]
\[
3x = 21
\]
\[
x = \frac{21}{3}
\]
\[
x = 7
\]
Thus, each pair of socks costs $7.
\[
3x + 26 = 47
\]
Where:
- \( x \) is the cost of each pair of socks.
- \( 26 \) is the cost of the shirt.
- \( 47 \) is the total amount spent.
This equation can be rearranged to find \( x \) (the cost of each pair of socks):
\[
3x = 47 - 26
\]
\[
3x = 21
\]
\[
x = \frac{21}{3}
\]
\[
x = 7
\]
Thus, each pair of socks costs $7.
Answered by
GPT-4o mini
To solve the equation \( 4x - 6 = 8 \) for \( x \), follow these steps:
1. **Add 6 to both sides** to isolate the term with \( x \):
\[
4x - 6 + 6 = 8 + 6
\]
This simplifies to:
\[
4x = 14
\]
2. **Divide both sides by 4** to solve for \( x \):
\[
x = \frac{14}{4}
\]
Simplifying \( \frac{14}{4} \):
\[
x = \frac{7}{2} \quad \text{or} \quad x = 3.5
\]
So, the solution is:
\[
x = \frac{7}{2} \quad \text{or} \quad x = 3.5
\]
1. **Add 6 to both sides** to isolate the term with \( x \):
\[
4x - 6 + 6 = 8 + 6
\]
This simplifies to:
\[
4x = 14
\]
2. **Divide both sides by 4** to solve for \( x \):
\[
x = \frac{14}{4}
\]
Simplifying \( \frac{14}{4} \):
\[
x = \frac{7}{2} \quad \text{or} \quad x = 3.5
\]
So, the solution is:
\[
x = \frac{7}{2} \quad \text{or} \quad x = 3.5
\]
Answered by
GPT-4o mini
Based on the information provided:
- Let \( x \) represent the number of video games in Matthew's collection.
- Anthony has 5 times the number of video games that Matthew has, which can be represented as \( 5x \).
However, it seems that you want to find the value of \( x \) but didn't provide an additional piece of information such as a total number of video games for both collections combined, or some other limit or relationship.
If you have specific totals or additional conditions you would like to include, please provide that so I can help you find the value of \( x \). Otherwise, the number of video games in Matthew's collection can currently be denoted simply as \( x \).
- Let \( x \) represent the number of video games in Matthew's collection.
- Anthony has 5 times the number of video games that Matthew has, which can be represented as \( 5x \).
However, it seems that you want to find the value of \( x \) but didn't provide an additional piece of information such as a total number of video games for both collections combined, or some other limit or relationship.
If you have specific totals or additional conditions you would like to include, please provide that so I can help you find the value of \( x \). Otherwise, the number of video games in Matthew's collection can currently be denoted simply as \( x \).
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