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)

Find the prime factorization of 250 using the factoring formula.

What is the vertex form of the quadratic function y = 3(x-2)^2 + 5?

Question: Given log₃8 = a and log₃4 = b, what is the value of log₃32 in terms of a and b? (

New questions in Mathematics

-11+29-18

58+861-87

A brass cube with an edge of 3 cm at 40 °C increased its volume to 27.12 cm3. What is the final temperature that achieves this increase?

The data set (75, 85, 58, 72, 70, 75) is a random sample from the normal distribution No(µ, σ). Determine a 95% two-sided confidence interval for the mean µ .

(2b) to the 1/4th power. Write the expression in radical form.

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

Let r: x - y 5 = 0. Determine a general equation of the line s parallel to the line r, which forms an isosceles triangle with area 8 with the line x = 5 and the Ox axis.