$MathMaster logo$

MathMaster

Home
general
marc jean and michelle have traveled a lot marc drove twice as much as jean but it was michelle who drove the most with 10

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?

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?

$Expert avatar$

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.

Frequently asked questions (FAQs)

Math question: What is the factored form of 3x^2 + 9x - 30?

+

What is the value of √(25) + √(16) * √(9) - √(64)?

+

Math Question: What is the equation of a parabola with vertex at (2, 5) and directrix y = -3?

+

New questions in Mathematics

A pump with average discharge of 30L/second irrigate 100m wide and 100m length field area crop for 12 hours. What is an average depth of irrigation in mm unIt?

𝑦 = ( 𝑥2 − 3) (𝑥3 + 2 𝑥 + 1)

Jose bought 3/4 of oil and his sister bought 6/8, which of the two bought more oil?

90 divided by 40

How do you think the company has increased or decreased its income?

The miles per gallon (mpg) for each of 20 medium-sized cars selected from a production line during the month of March are listed below. 23.0 21.2 23.5 23.6 20.1 24.3 25.2 26.9 24.6 22.6 26.1 23.1 25.8 24.6 24.3 24.1 24.8 22.1 22.8 24.5 (a) Find the z-scores for the largest measurement. (Round your answers to two decimal places.) z =

If the midpoint of point A on the x=3 line and point B on the y=-2 line is C(-2,0), what is the sum of the ordinate of point A and the abscissa of point B?

Raúl, Gilberto and Arturo are playing golf; The probabilities of winning for each one are as follows: (Raúl wins) = 20% (Gilberto wins) = 0.05% (Arturo wins) = ¾%. Perform operations and order events from least to most probable.

Use the power rule for logarithms to solve the following word problem exactly. If you invest $1, 000 at 5% interest compounded annually, how many years will it take before you have $2,000?

The points (-5,-4) and (3,6) are the ends of the diameter of the circle calculate subequation

The probability of growing a seedling from a seed is 0.62. How many seeds do I need to plant so that the probability of growing at least one seedling is greater than or equal to 0.87?

A block slides across the floor with a force of 20N, which has an angle of 30°. The mass of the block is 2kg and the coefficient of friction is 0.1. Calculate the value of all the forces involved in this system and finally the value of the acceleration.

write in set builder notation { 1,3,9,27,81,243,...}

Let I be an interval and let f : I → R be a continuous function such that f(I) ⊂ Q. Show (in symbols) that f is constant.

In a school playground When going out for recess, 80 men and 75 women coexist, the Patio measures 10 meters For 40 meters (what will be the population density in the break

-Please answer to the following questions: What is the price elasticity of demand? Can you explain it in your own words? What is the price elasticity of supply? Can you explain it in your own words? What is the relationship between price elasticity and position on the demand curve? For example, as you move up the demand curve to higher prices and lower quantities, what happens to the measured elasticity? How would you explain that? B-Assume that the supply of low-skilled workers is fairly elastic, but the employers’ demand for such workers is fairly inelastic. If the policy goal is to expand employment for low-skilled workers, is it better to focus on policy tools to shift the supply of unskilled labor or on tools to shift the demand for unskilled labor? What if the policy goal is to raise wages for this group? Explain your answers with supply and demand diagrams. Make sure to properly cite and reference your academic or peer-reviewed sources (minimum 2).