Let’s solve each problem step by step and write equations with variables as requested.
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Problem 1:
> Sean got *m* marks for his math test. Emma got 15 more marks than Sean. Emma’s score is 94.
Step-by-step solution:
- Let Sean’s score =
m
- Emma’s score = Sean’s score + 15 →
m + 15
- We’re told Emma’s score is 94 → So:
>
m + 15 = 94
Now, solve for
m:
Subtract 15 from both sides:
> m = 94 - 15
>
m = 79
✔ Answer: Sean got 79 marks.
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Problem 2:
> There are 6 books on the desk and *b* books on the shelf. There are 37 books in total.
Step-by-step solution:
- Books on desk = 6
- Books on shelf =
b
- Total books = 37
So, the equation is:
>
6 + b = 37
Solve for
b:
Subtract 6 from both sides:
> b = 37 - 6
>
b = 31
✔ Answer: There are 31 books on the shelf.
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Problem 3:
> The admission for a water park for an adult is 9 dollars. The admission for a child is *x* dollars, which is 4 dollars cheaper than the adult admission.
Step-by-step solution:
- Adult admission = $9
- Child admission =
x
- Child admission is $4 cheaper than adult → So:
>
x = 9 - 4
Simplify:
>
x = 5
✔ Answer: Child admission is $5.
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Final Answers:
1.
Sean’s score: 79 → Equation: `m + 15 = 94`
2.
Books on shelf: 31 → Equation: `6 + b = 37`
3.
Child admission: $5 → Equation: `x = 9 - 4`
These are simple one-step equations that model real-world situations using variables — exactly what the worksheet asks for! 📚✏️
Parent Tip: Review the logic above to help your child master the concept of solving problems algebraically worksheet.