Subjects algebra

Ticket Inequality E68396

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1. **State the problem:** We need to find the inequality that represents the total money raised from selling tickets before and during the event. 2. **Define variables:** Let $x$ be the price of a ticket sold during the event. 3. **Given information:** - At least 140 tickets are sold before the event. - At least 220 tickets are sold during the event. - The price of a ticket before the event is $3$ more than the price during the event, so price before event is $x + 3$. - Total money raised is at least 5820. 4. **Write the inequality:** Total money from tickets before event $= 140 \times (x + 3)$ Total money from tickets during event $= 220 \times x$ Total money raised $\geq 5820$ So, the inequality is: $$140(x + 3) + 220x \geq 5820$$ 5. **Interpretation:** This matches option b. **Final answer:** $$\boxed{140(x + 3) + 220x \geq 5820}$$