Let’s solve this step by step.
We are told:
- Mindy ate 3 pieces.
- Troy ate 1/4 of the total cake.
- Together, they ate 9 pieces.
Let “c” be the total number of pieces of cake.
So, Troy ate (1/4) × c pieces.
Mindy ate 3 pieces.
Together:
3 + (1/4)c = 9
That’s the equation we need to write.
Now, let’s solve it:
Subtract 3 from both sides:
(1/4)c = 6
Multiply both sides by 4:
c = 24
Check:
Troy ate 1/4 of 24 = 6 pieces.
Mindy ate 3 pieces.
Total = 6 + 3 = 9 → matches the problem.
Perfect.
Final Answer:
Equation: 3 + (1/4)c = 9
Total pieces: 24
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Final Answer:
3 + \frac{1}{4}c = 9
24
Parent Tip: Review the logic above to help your child master the concept of linear system word problems worksheet.
