Sure! Let’s go through each problem one by one, writing an equation and solving for the unknown variable as requested.
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Problem 1:
> Gianna’s family reserved a campsite for 5 nights for a family vacation. They paid $115 total for the reservation. Let *c* be the cost of the reservation per night. Write and solve an equation to find *c*.
✔ Equation:
Since they stayed 5 nights and paid $115 total, the cost per night multiplied by 5 equals 115.
>
5c = 115
✔ Solve for c:
Divide both sides by 5:
>
c = 115 ÷ 5
>
c = 23
✔ Answer: The cost per night is
$23.
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Problem 2:
> Last Saturday, Camila practiced her dance routines for her upcoming competition. She spent some time practicing her tap routine, and then she spent 17 minutes practicing her hip-hop routine. In all, she practiced for 45 minutes. Let *t* be the number of minutes that Camila practiced her tap routine. Write and solve an equation to find *t*.
✔ Equation:
Tap practice time + Hip-hop practice time = Total practice time
>
t + 17 = 45
✔ Solve for t:
Subtract 17 from both sides:
>
t = 45 - 17
>
t = 28
✔ Answer: Camila practiced her tap routine for
28 minutes.
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Problem 3:
> Samuel saved some money for a new phone, but then he spent $24 of his savings on a pair of headphones. Now he has $109 left. Let *s* be the number of dollars Samuel had originally saved. Write and solve an equation to find *s*.
✔ Equation:
Original savings minus amount spent = remaining money
>
s - 24 = 109
✔ Solve for s:
Add 24 to both sides:
>
s = 109 + 24
>
s = 133
✔ Answer: Samuel originally saved
$133.
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Problem 4:
> In Mr. Hamilton’s classroom, there are 16 supply boxes in the cabinet. Each supply box contains the same number of markers, and there are 192 markers in all. Let *m* be the number of markers in each supply box. Write and solve an equation to find *m*.
✔ Equation:
Number of boxes × markers per box = total markers
>
16m = 192
✔ Solve for m:
Divide both sides by 16:
>
m = 192 ÷ 16
>
m = 12
✔ Answer: Each supply box contains
12 markers.
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Problem 5:
> Maya brought some orange slices for her volleyball team to eat between games. They divided the orange slices equally among the 8 team members, so each team member got 6 orange slices. Let *s* be the number of orange slices Maya brought. Write and solve an equation to find *s*.
✔ Equation:
Total slices ÷ number of team members = slices per member
>
s ÷ 8 = 6
Or, equivalently:
>
s/8 = 6
✔ Solve for s:
Multiply both sides by 8:
>
s = 6 × 8
>
s = 48
✔ Answer: Maya brought
48 orange slices.
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✔ Final Answers Summary:
1.
c = 23 → $23 per night
2.
t = 28 → 28 minutes tap practice
3.
s = 133 → $133 originally saved
4.
m = 12 → 12 markers per box
5.
s = 48 → 48 orange slices total
Let me know if you’d like these explained with diagrams or word problems broken down further!
Parent Tip: Review the logic above to help your child master the concept of writing equations word problems worksheet.
