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Marc, Jean and Michelle have traveled a lot. Marc drove twice as much as Jean, but it was Michelle who drove the most with 100km more than Marc. They respected their objective of not exceeding 1350km of distance. How far did John drive?

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Answer to a math question Marc, Jean and Michelle have traveled a lot. Marc drove twice as much as Jean, but it was Michelle who drove the most with 100km more than Marc. They respected their objective of not exceeding 1350km of distance. How far did John drive?

Expert avatar
Bud
4.6
96 Answers
Let's assume that Jean drove x km.
According to the given information, Marc drove twice as much as Jean, so Marc drove 2x km.
Michelle drove 100km more than Marc, so Michelle drove 2x + 100 km.
The total distance driven by all three is the sum of the distances driven by each individual:

Distance driven by Jean: x km
Distance driven by Marc: 2x km
Distance driven by Michelle: 2x + 100 km

The total distance driven by all three is given as not exceeding 1350km:

x + 2x + 2x + 100 = 1350

Simplifying the inequality:

5x + 100 = 1350

Subtracting 100 from both sides:

5x = 1250

Dividing both sides by 5:

x = 250

Since x represents the distance driven by Jean, the value for x is 250 km.

Answer: Jean drove 250 km.

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