Question
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A transpont company has a totod of 20 Vehicles made up of tricyeles and taxi cabr. Euch tricycle curries 2 persenyers while each taxi cab carries 4 parssengus. If the -20 vehidy Cany a total of 66 passengers ot a time how many tricydes does the Company hase?

Ask by Pollard Rose. in Nigeria
Mar 11,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The company has 7 tricycles.

Solution

Let \( x \) be the number of tricycles. Since there are 20 vehicles in total, the number of taxi cabs is \( 20 - x \). Each tricycle carries 2 passengers and each taxi cab carries 4 passengers. The total number of passengers is given by: \[ 2x + 4(20 - x) = 66 \] Step 1: Distribute the 4 in the second term: \[ 2x + 80 - 4x = 66 \] Step 2: Combine like terms: \[ -2x + 80 = 66 \] Step 3: Isolate the term with \( x \): \[ -2x = 66 - 80 \] \[ -2x = -14 \] Step 4: Divide both sides by \(-2\): \[ x = 7 \] The company has \( 7 \) tricycles.

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Mind Expander

Let’s break this down in a fun yet simple way! You can use algebra to solve the mystery of the disappearing tricycles and taxi cabs! Imagine you have 'T' as the number of tricycles and 'X' as the number of taxis. You know that T + X = 20 (the total vehicles) and 2T + 4X = 66 (the total capacity). Now, time for some number crunching! You can turn the first equation into X = 20 - T and plug it into the second one. This will help you solve for T, which ultimately reveals how many tricycles are chilling in the parking lot! If you run the calculations, you'll find that the company has 12 tricycles and 8 taxis! A perfect balance of rides for those wanting a breezy trip or a speedy journey!

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