Subjects algebra

Total Cost D03Bca

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

Question: for the school math week, grade 10 students 3 notebooks costing ₱x a each, but every notebook has a 2 bundles of markers with each bundle costing‎ (₱x + ₱5) to be used during the event. They also purchased I roll a decorative ribbon worth ₱7.‎‎question: write and simplify the algebraic expressions that represents the total amount spent by the class.‎‎Given:  4(3x- 2) + 2(x + 5) +7‎ = 12x -8+2% +10+7 ‎Variables: 12x + 2x = 14x‎Constants: -8 + 10+7=9‎‎final answer: 14x +9Is this right?
1. **State the problem:** We need to write and simplify the algebraic expression representing the total amount spent by the class buying notebooks, marker bundles, and a decorative ribbon. 2. **Define variables and costs:** - Number of notebooks: $3$ - Cost per notebook: $x$ - Each notebook comes with $2$ bundles of markers - Cost per marker bundle: $x + 5$ - Decorative ribbon cost: $7$ 3. **Write the expression for each item:** - Total cost of notebooks: $$3 \times x = 3x$$ - Total bundles of markers: $$3 \times 2 = 6$$ bundles - Total cost of markers: $$6 \times (x + 5) = 6x + 30$$ - Cost of ribbon: $$7$$ 4. **Write the total cost expression:** $$\text{Total} = 3x + (6x + 30) + 7$$ 5. **Simplify the expression:** $$3x + 6x + 30 + 7 = 9x + 37$$ 6. **Check the given expression:** The user gave $$4(3x - 2) + 2(x + 5) + 7$$ which expands to: $$4 \times 3x - 4 \times 2 + 2x + 10 + 7 = 12x - 8 + 2x + 10 + 7$$ Combine like terms: $$12x + 2x = 14x$$ $$-8 + 10 + 7 = 9$$ So the simplified expression is: $$14x + 9$$ 7. **Compare both results:** - Our correct total is $$9x + 37$$ - The user's expression $$14x + 9$$ does not match the problem's conditions. **Conclusion:** The user's expression is incorrect based on the problem statement. **Final answer:** $$9x + 37$$