a charity bingo game costs $2 per round and has a $13 entry fee for an adult. it costs $3 per round and a…

a charity bingo game costs $2 per round and has a $13 entry fee for an adult. it costs $3 per round and a $10 entry fee for a child. for how many rounds of bingo are the costs the same for an adult and a child?\no 2\no 3\no 4\no 5

a charity bingo game costs $2 per round and has a $13 entry fee for an adult. it costs $3 per round and a $10 entry fee for a child. for how many rounds of bingo are the costs the same for an adult and a child?\no 2\no 3\no 4\no 5

Answer

Explanation:

Step1: Set up cost - equations

Let $x$ be the number of rounds. The cost for a child $C_{c}=2x + 13$. The cost for an adult $C_{a}=3x+10$.

Step2: Set the two equations equal

Set $C_{c}=C_{a}$, so $2x + 13=3x + 10$.

Step3: Solve for $x$

Subtract $2x$ from both sides: $13=x + 10$. Then subtract 10 from both sides: $x=3$.

Answer:

3