Q:

Flora’s car is 59/100 meters longer than Sally’s car.Sally’s car is 2/10 of a meter longer then Trevor’s car.how many longer is flora’s car than trevor’s car?

Accepted Solution

A:
Answer:The flora car is [tex]\frac{79}{100}[/tex] meters (79 centimeters) longer than the car of trevorStep-by-step explanation:We can represent this situation through a system of linear equations. Let's call F the length of Flora's car Let's call S the length of Sally's car. Let's call T the length of the trevor car. Then we know that: [tex]F = S + \frac{59}{100}[/tex] -------- (i) [tex]S = T + \frac{2}{10}[/tex] -------------(ii) We must find the relation between variable F and variable S. Then substitute (ii) in (i) [tex]F = T + \frac{2}{10}+ \frac{59}{100}\ \ \ //\frac{2}{10}=\frac{20}{100}\\\\F = T + \frac{20}{100} + \frac{59}{100}\\\\F = \frac{79}{100} + T\\\\F = 0.79 + T[/tex]The flora car is [tex]\frac{79}{100}[/tex] meters (79 centimeters) longer than the car of trevor