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)

What is the solution to the inequality 3x + 8 ≤ 20? (Simplify your answer if possible)

What is the square root of 121, when rounded to the nearest whole number?

What is the result when you divide 3/4 by 2/5?

New questions in Mathematics

-6(3x-4)=-6

5/8 x 64

X^2 = 25

Suppose the horses in a large they will have a mean way of 818 pounds in a variance of 3481. What is the probability that the mean weight of the sample of horses with differ from the population mean by more than 18 pounds is 34 horses are sampled at random from the stable.

The beta of a company is 1,41 and its cost of equity 18,95%. What is then the market risk premium if the risk free rate is 0,94%? (in %, 2 decimal places)

To celebrate the five-year anniversary of a consultancy specializing in information technology, the administrator decided to draw 3 different qualification courses among its 10 employees. Considering that the same employee cannot be drawn more than once, the total number of different ways of drawing among employees is:

Mrs. Emily saved RM10000 in a bank. At the end of the eighth year, the amount of money accumulated amounted to RM19992.71. If the bank pays an annual interest of x% for a year compounded every 6 months. Calculate the value of x.