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Math

QuestionTyee's taxi cost $4.40\$ 4.40 pickup + $2.25\$ 2.25 per mile = $33.65\$ 33.65. How many miles did he travel?

Studdy Solution

STEP 1

Assumptions1. The pickup fee is 4.40.Theratepermileis4.40. The rate per mile is .253. The total fare (excluding tip) is $33.654. The total fare is the sum of the pickup fee and the cost per mile multiplied by the number of miles

STEP 2

First, we need to find the cost of the taxi ride without the pickup fee. We can do this by subtracting the pickup fee from the total fare.
Cost without pickup fee=Total fare−Pickup feeCost\, without\, pickup\, fee = Total\, fare - Pickup\, fee

STEP 3

Now, plug in the given values for the total fare and pickup fee to calculate the cost without the pickup fee.
Cost without pickup fee=$33.65−$.40Cost\, without\, pickup\, fee = \$33.65 - \$.40

STEP 4

Calculate the cost without the pickup fee.
Cost without pickup fee=$33.65−$4.40=$29.25Cost\, without\, pickup\, fee = \$33.65 - \$4.40 = \$29.25

STEP 5

Now that we have the cost without the pickup fee, we can find the number of miles Tyee traveled. This can be found by dividing the cost without the pickup fee by the rate per mile.
Number of miles=Cost without pickup fee/Rate per mileNumber\, of\, miles = Cost\, without\, pickup\, fee / Rate\, per\, mile

STEP 6

Plug in the values for the cost without the pickup fee and the rate per mile to calculate the number of miles.
Number of miles=$29.25/$2.25Number\, of\, miles = \$29.25 / \$2.25

STEP 7

Calculate the number of miles.
Number of miles=$29.25/$2.25=13Number\, of\, miles = \$29.25 / \$2.25 =13Tyee's taxi ride was13 miles long.

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