SOLUTION: After driving 120 km, 3/4 of a trip is completed. How long is the trip?
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Question 967694: After driving 120 km, 3/4 of a trip is completed. How long is the trip?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
THE FIFTH-GRADER MENTAL MATH SOLUTION:
If 3 fourths (3/4) is 120 km,
then 1 fourth (1/4) is 120 km divided by 3, which is 40 km.
If 40 km is 1/4 of the trip,
then the entire trip is 4 times that:
4 times 40 km, which is 160 km.
THE FANCY EQUATION ALGEBRA WAY:
= total trip distance in km.
= 3/4 of the total trip distance.
So, is our equation.
Solving:
Dividing both sides by , (which, as you know,
is the same as multiplying by the reciprocal fraction, )
we get
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