SOLUTION: Pius traveled one-quarter of the journey to his destination. He still has to cover 24 km to reach the third-way mark. 2. 5.1. How many kilometers does he still h

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Question 1159973: Pius traveled one-quarter of the journey to his destination. He still has to cover 24 km to reach the third-way mark. 2. 5.1. How many kilometers does he still have to travel to reach his destination? ( use a diagram to help you.) 2.5.2. Identify the mathematical concepts and skills (background information) that learners need to master to be able to answer this question. Elaborate.
Found 3 solutions by ikleyn, MowMow, MathTherapy:
Answer by ikleyn(52772) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the TOTAL distance.

Then from the condition you have this equation


    x%2F3 - x%2F4 = 24.


Multiply both sides by 12


    4x - 3x = 24*12  kilometres

    x       = 288    kilometres


The entire distance is 288 kilometres.


Pius just traveled one quarter of it, i.e.  288/4 = 72 kilometers.


Hence, he still has to travel  288 - 72 = 216 kilometres to reach his destination.     ANSWER

Solved.


Answer by MowMow(42) About Me  (Show Source):
You can put this solution on YOUR website!
He has gone 0.25 of the distance, but has 24 km more before going 1/3 the distance. So 24 = (0.33333 - .25)X, 24 = .08333X, X = 288 miles for the journey.
So he has to travel 2/3 of the way for the entire journey, 2/3X = 192 km left to go.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Pius traveled one-quarter of the journey to his destination. He still has to cover 24 km to reach the third-way mark. 2. 5.1. How many kilometers does he still have to travel to reach his destination? ( use a diagram to help you.) 2.5.2. Identify the mathematical concepts and skills (background information) that learners need to master to be able to answer this question. Elaborate.
Definitely will NOT do all of that!



Let journey be J km

We then get the following equation: 

3J + 288 = 4J ----- Multiplying by LCD, 12

Journey, or J = 288 km

With the entire journey being 288 km, and he's already covered 1%2F4, or 72 km, he has another