Jade wants to stop for coffee on her way to school. the distance from jade's house to the coffee shop is 3 miles more than twice the distance from the coffee shop to jade's school. the total distance from jade's house to school is 5 times the distance from the coffee shop to her school. what is the equation?

Respuesta :

The total distance from jade's house to school is 5 times the distance from the coffee shop to her school =  7.5 miles

Distance is the overall movement of an object without any regard to path. we will outline distance as to how a lot ground an object has protected regardless of its starting or finishing point.

Equation;

Let the distance between coffee shop and school = X

Distance from Jade's house to coffee shop = 3 miles +2x

Total distance from Jade's house to school = 5*X

∴ the total distance = house to coffee shop + coffee shop to school

                        ⇒    5X =  (3 + 2X + X)

                        ⇒     5X = ( 3 +3X)

                         ⇒     2X = 3

                          ⇒      X = 1.5 miles

Therefore,

            Distance = house to school = 5 * 1.5 = 7.5 miles

                               coffee shop to school = 1.5 miles

                               house to coffee shop = 3 + 2*1.5 = 6 miles

Hence, The total distance from jade's house to school is 5 times the distance from the coffee shop to her school =  7.5 miles

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