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Answer :
Sure! Let's solve the problem step-by-step.
Alexia ran a total of 15 miles in one week. We know she ran 3 miles on the first day and [tex]\( z \)[/tex] miles on the other days of the week. We need to find out how many miles she ran on those other days.
1. Understand the Total Distance:
- The total distance Alexia ran over the week is given as 15 miles.
2. Identify the Known Distance:
- She ran 3 miles on the first day.
3. Set Up the Equation:
- Let's express the total distance [tex]\( 15 \)[/tex] miles as a sum of the miles she ran on the first day and the other days.
- The equation representing this relationship is:
[tex]\[
3 + z = 15
\][/tex]
- Here, [tex]\( z \)[/tex] represents the total miles she ran on the other days of the week.
4. Solve the Equation:
- To solve for [tex]\( z \)[/tex], subtract 3 miles (the miles she ran on the first day) from 15 miles (the total miles ran):
[tex]\[
z = 15 - 3
\][/tex]
5. Calculate the Result:
- By calculating [tex]\( 15 - 3 \)[/tex], we find that:
[tex]\[
z = 12
\][/tex]
Therefore, Alexia ran 12 miles on the other days of the week.
Alexia ran a total of 15 miles in one week. We know she ran 3 miles on the first day and [tex]\( z \)[/tex] miles on the other days of the week. We need to find out how many miles she ran on those other days.
1. Understand the Total Distance:
- The total distance Alexia ran over the week is given as 15 miles.
2. Identify the Known Distance:
- She ran 3 miles on the first day.
3. Set Up the Equation:
- Let's express the total distance [tex]\( 15 \)[/tex] miles as a sum of the miles she ran on the first day and the other days.
- The equation representing this relationship is:
[tex]\[
3 + z = 15
\][/tex]
- Here, [tex]\( z \)[/tex] represents the total miles she ran on the other days of the week.
4. Solve the Equation:
- To solve for [tex]\( z \)[/tex], subtract 3 miles (the miles she ran on the first day) from 15 miles (the total miles ran):
[tex]\[
z = 15 - 3
\][/tex]
5. Calculate the Result:
- By calculating [tex]\( 15 - 3 \)[/tex], we find that:
[tex]\[
z = 12
\][/tex]
Therefore, Alexia ran 12 miles on the other days of the week.
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