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?

Name: Solved: 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? - MathMaster
Brand: MathMaster
Rating: 4.9 (227 reviews)

227

likes

1135 views

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

97 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.

Frequently asked questions (FAQs)

Question: What is the highest possible value that a continuous function can achieve on a closed interval?

Question: Find the limit of (3x^2 + 4) / (x^2 - 5x + 6) as x approaches 2.

Question: "If the sine of an angle is 0.4, what is the cosine value for that angle?"

New questions in Mathematics

Calculate to represent the function whose graph is a line that passes through the points (1,2) and (−3,4). What is your slope?

Solution to the equation y'' - y' - 6y = 0

The Lenovo company manufactures laptop computers, it is known that for every 60 laptops produced, 54 go on the market with the highest quality standards. If a sample of 15 laptops is taken, calculate the probability that: Exactly 2 are not of high quality

Suppose 56% of politicians are lawyers if a random sample of size 564 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportions buy more than 4% round your answer to four decimal places

A pair of die is thrown and the absolute difference of the two scores is recorded. What is the probability of the absolute difference being 4 or more?

prove that if n odd integer then n^2+5 is even

In a grocery store, when you take out 3 peppers and 4 carrots, there are 26 peppers and 46 carrots left. How many peppers and carrots were there initially?