A discount pass for a bridge costs $30 per month. The toll
for the bridge is normally $5, but is reduced to $3.50 for
people who have purchased the discount pass. Determine
the number of times in a month the bride must be crossed
so that the total monthly cost without the discount pass is
the same as the total monthly cost with the discount pass.

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tanvigupta426 tanvigupta426 · Answer 1 · 2022-08-31T17:25:29+02:00

The bridge must be crossed 20 times to make the monthly costs equal.

According to the statement

We have to find that the number of times in a month the bride must be crossed.

So, For this purpose, we know that the

To determine the number of times in a month.

Then

Let n = the number of times in a month the bridge is crossed.

Let C = monthly cost

With pass:

C = 30+3.5n

without pass:

C=5n

Then Substitute the values in the place of the C. So, The equation become

30+3.5n=5n

1.5n = 30

n =20

The bridge must be crossed 20 times to make the monthly costs equal.

So, The bridge must be crossed 20 times to make the monthly costs equal.

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