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alex41 [277]
3 years ago
6

The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $28.00. With the

coupon book, the fare is reduced to $1.00. Determine the number of times in a month the bus can be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book
Mathematics
1 answer:
LekaFEV [45]3 years ago
4 0

Answer:

56 = 56

Step-by-step explanation:

Given:

Bus fare = $2.00

coupon book = 28.00

bus fare w/ coupon book = $1.00

let x be the number of bus rides.

2.00x = 1.00x + 28.00

2.00x - 1.00x = 28.00

1x = 28.00

x = 28.00

24 bus rides for both to have the same cost.

2.00x = 1.00x + 28

2.00(28) = 1.00(28) + 28

56 = 28 + 28

56 = 56

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Answer:  \displaystyle y= \frac{2\text{x}}{4\text{x} - 1}

============================================

Work Shown:

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Explanation:

The idea is to first get all the y terms to one side. I did this by subtracting 2y from both sides in the third step.

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