Answer :
Sure, let's solve each problem step-by-step:
Problem 1: Susan renting a limo
1. Let statement:
- Let [tex]\( h \)[/tex] be the number of hours Susan rented the limo.
2. Write an equation:
- The total cost consists of a one-time charge and an hourly rate. So, the equation is:
[tex]\[
100 + 45h = 370
\][/tex]
- Here, 100 is the one-time charge, 45 is the hourly rate, and 370 is the total cost.
3. Solve the equation:
- Subtract 100 from both sides:
[tex]\[
45h = 270
\][/tex]
- Divide by 45 to isolate [tex]\( h \)[/tex]:
[tex]\[
h = 6
\][/tex]
4. State your answer:
- Susan rented the limo for 6 hours.
---
Problem 2: Ethan fixing a computer
1. Let statement:
- Let [tex]\( t \)[/tex] be the number of hours Ethan worked on the computer.
2. Write an equation:
- The total earnings consist of a flat fee and an hourly charge. So, the equation is:
[tex]\[
25 + 20t = 175
\][/tex]
- Here, 25 is the flat fee, 20 is the hourly charge, and 175 is the total earnings.
3. Solve the equation:
- Subtract 25 from both sides:
[tex]\[
20t = 150
\][/tex]
- Divide by 20 to isolate [tex]\( t \)[/tex]:
[tex]\[
t = 7.5
\][/tex]
4. State your answer:
- Ethan worked on the computer for 7.5 hours.
Problem 1: Susan renting a limo
1. Let statement:
- Let [tex]\( h \)[/tex] be the number of hours Susan rented the limo.
2. Write an equation:
- The total cost consists of a one-time charge and an hourly rate. So, the equation is:
[tex]\[
100 + 45h = 370
\][/tex]
- Here, 100 is the one-time charge, 45 is the hourly rate, and 370 is the total cost.
3. Solve the equation:
- Subtract 100 from both sides:
[tex]\[
45h = 270
\][/tex]
- Divide by 45 to isolate [tex]\( h \)[/tex]:
[tex]\[
h = 6
\][/tex]
4. State your answer:
- Susan rented the limo for 6 hours.
---
Problem 2: Ethan fixing a computer
1. Let statement:
- Let [tex]\( t \)[/tex] be the number of hours Ethan worked on the computer.
2. Write an equation:
- The total earnings consist of a flat fee and an hourly charge. So, the equation is:
[tex]\[
25 + 20t = 175
\][/tex]
- Here, 25 is the flat fee, 20 is the hourly charge, and 175 is the total earnings.
3. Solve the equation:
- Subtract 25 from both sides:
[tex]\[
20t = 150
\][/tex]
- Divide by 20 to isolate [tex]\( t \)[/tex]:
[tex]\[
t = 7.5
\][/tex]
4. State your answer:
- Ethan worked on the computer for 7.5 hours.