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You lose your electronic tag that you use to pays tolls on the highway in your city. It costs you $24 to replace the tag. The costs of one toll when you don't use tag is $3. The cost of the same toll when you do use the tag is $1.50. How many times will you have to use the tag to pay for the tolls in order for the total cost to be the same as not using the tag?

User SageMage
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2 Answers

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Final answer:

To pay for the tolls in order for the total cost to be the same as not using the tag, you will have to use the tag 14 times.

Step-by-step explanation:

To calculate the number of times you will have to use the tag to pay for the tolls in order for the total cost to be the same as not using the tag, we need to consider the cost of one toll with and without the tag.

Without the tag, the cost of one toll is $3. With the tag, the cost of one toll is $1.50.

To find the number of times the tag needs to be used, we can set up an equation:

3 + 1.50x = 24

where x represents the number of times the tag is used.

To solve for x, we can subtract 3 from both sides of the equation:

1.50x = 21

Next, divide both sides of the equation by 1.50:

x = 14

Therefore, you will have to use the tag 14 times to pay for the tolls in order for the total cost to be the same as not using the tag.

User Pankaj Shukla
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7.8k points
5 votes
Use can use it two times
User Soundslikeodd
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7.4k points