A municipal transit system tracks its monthly revenue from three fare categories: Single-R… — ACT

A municipal transit system tracks its monthly revenue from three fare categories: Single-Ride passes, Weekly passes, and Monthly subscriptions. Single-Ride passes account for $\frac{9}{20}$ of the total monthly revenue, and Weekly passes account for $30\%$ of the total monthly revenue. If the remaining revenue from Monthly subscriptions is $\$21,000$ , what was the total monthly revenue, in dollars, for the transit system?

A
$28,000
B
$35,000
C
$63,000
$84,000Answer
E
$105,000

Answer

The total monthly revenue for the transit system is $84,000.

Single-Ride passes account for

\frac{9}{20} = 45\%

of revenue, and Weekly passes account for

30\%

. Together, they account for

45\% + 30\% = 75\%

of total revenue. The remaining

25\%

(

100\% - 75\%

) corresponds to Monthly subscriptions, which equals

\$21,000

. Dividing

\$21,000

0.25

gives the total monthly revenue of

\$84,000

Step-by-Step Solution

Convert the fraction portion into a percentage.

\frac{9}{20} = \frac{45}{100} = 45\%

Converting all proportions to percentages allows for direct comparison and addition.

Calculate the combined percentage accounted for by Single-Ride and Weekly passes.

45\% + 30\% = 75\%

Summing the two given parts determines the total portion of revenue accounted for so far.

Find the percentage corresponding to Monthly subscriptions.

100\% - 75\% = 25\%

The three fare categories make up

100\%

of the total monthly revenue.

Set up an equation to solve for the total revenue

T

0.25 T = 21,000 \implies T = \frac{21,000}{0.25} = 84,000

Dividing the dollar amount of the remaining category by its percentage equivalent yields the total revenue.

Key Concept

Combining fractions and percentages to solve for an unknown total value.

Estimated Time:1m 30s

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