The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $24.00. With the coupon book, the fare is reduced to $1.00.Determine the number of times

Let's first find out the total cost of using the bus without the coupon book. To do this, we need to know how many times the bus will be used in a month. Let's call this number "x". Without the coupon book, each time the bus is used, it costs $2.00. So the total cost of using the bus "x" times in a month is 2x dollars. Now let's find out the total cost of using the bus with the coupon book. Each time the bus is used with the coupon book, it costs $1.00. Since the coupon book costs $24.00, we can use it for the whole month, no matter how many times the bus is used. So the total monthly cost with the coupon book is $24.00 + $1.00 per bus ride. In other words, it's $24.00 + $1.00x. We want to know how many times the bus must be used in a month so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book. In other words, we want to find "x" such that: 2x = 24 + x To solve for "x", we can subtract "x" from both sides and get: x = 24 So if the bus is used 24 times in a month, the total monthly cost without the coupon book is equal to the total monthly cost with the coupon book. To summarize: - Without the coupon book, the total monthly cost of using the bus "x" times is 2x dollars. - With the coupon book, the total monthly cost is $24.00 + $1.00x. - To find the number of times the bus must be used in a month so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book, we set the two expressions equal to each other: 2x = 24 + x. - Solving for "x", we get x = 24.