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?\n2\n3\n4\n5
Answer
Explanation:
Step1: Set up cost - equations
Let $x$ be the number of rounds. The cost for an adult $C_a$ is $C_a = 2x+13$. The cost for a child $C_c$ is $C_c=3x + 10$.
Step2: Set the two equations equal
Set $C_a=C_c$, 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