Subjects algebra

Song Cost C3B05B

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1. **Define the variable:** Let $x$ be the cost of each song in dollars. 2. **Write an equation:** Georgina started with $50 and spent money on 18 songs, each costing $x$. She has $18.50 left. So the equation is: $$50 - 18x = 18.50$$ 3. **Solve the equation:** Subtract 18.50 from both sides: $$50 - 18.50 - 18x = 18.50 - 18.50$$ $$31.5 - 18x = 0$$ Subtract 31.5 from both sides: $$31.5 - 18x - 31.5 = 0 - 31.5$$ $$-18x = -31.5$$ Divide both sides by $\cancel{-18}$ to isolate $x$: $$x = \frac{-31.5}{\cancel{-18}} = \frac{31.5}{18}$$ Simplify the fraction: $$x = 1.75$$ 4. **Explain the meaning:** Each song costs $1.75. 5. **Does the solution make sense?** Yes, because buying 18 songs at $1.75 each costs $31.50, and $50 - 31.50 = 18.50$ remaining, which matches the problem's information.