Maths-
General
Easy

Question

The Population of one town is 43,425. About 125 people move out of the town each month. Each month 200 people on average move into town. A nearby town has a population of 45000. It has no one moving in and an average of 150 people moving away every month. In about how many months will the population of the towns be equal ?

hintHint:

○ Form the equation according to given information..
○ Take variable values as x or any alphabet.
○ Solve the equation to get value of x.
○ Add no. of people coming in and subtract no. of people going out to get net population of town.

The correct answer is: ⇒ x = 7


    ○ Given:
    rightwards double arrowTown 1:  Population 43,425
    in 200 people and out 125 people.
    rightwards double arrowTown 2:  Population 45,000
    out 150 people.
    ○ Step 1:
    ○ Let the number of months after which population be equal be x months.
    First consider case of Town 1:
    As, number of people coming in is more than going out, so population will increase,
    Hence, population of Town 1 at the end of month will be =
    rightwards double arrow43,425 + 200 - 125
    And after end of x months =
    rightwards double arrow43,425 + (200 -125)x = 43,425 + 75x
    Now, consider case of Town 2:
    As, 150 people move out every month.
    Hence, population of Town 2 at the end of month will be =
    rightwards double arrow45,000 - 150
    And after end of x months =
    rightwards double arrow45,000  - 150x
    ○ Step 2:
    ○ Now equate the population of both town:
    rightwards double arrow43,425 + 75x =  45,000  - 150x
    rightwards double arrow75x + 150x = 45,000 - 43,425
    rightwards double arrow225x = 1,575
    rightwards double arrowx = 1575 over 225
    rightwards double arrowx = 7
    • Final Answer:
    Hence, after 7 months population of both town will be equal.

    Related Questions to study

    General
    Maths-

    The Weight of Abhi’s dog can be found using the expression 2(x+3), where x is the number of weeks. The weight of tarun’s dog can be found using the expression3(x + 1), where x is the number. Will the dogs ever be the same weight ? explain.

    The Weight of Abhi’s dog can be found using the expression 2(x+3), where x is the number of weeks. The weight of tarun’s dog can be found using the expression3(x + 1), where x is the number. Will the dogs ever be the same weight ? explain.

    Maths-General
    General
    Maths-

    Make and test a conjecture about the sum of two even numbers.

    Make and test a conjecture about the sum of two even numbers.

    Maths-General
    General
    Maths-

    How many solutions does this equation have 2(6x+9-3x) = 5x+21

    How many solutions does this equation have 2(6x+9-3x) = 5x+21

    Maths-General
    parallel
    General
    Maths-

    Solve the equation -2.6b + 4 = 0.9b - 17

    Solve the equation -2.6b + 4 = 0.9b - 17

    Maths-General
    General
    Maths-

    Sunil has Rs 450 in her savings account . she deposits Rs 40 each month. Arun has Rs 975 in his checking account. He writes a check for Rs 45.90 each month for his cell phone bill. He also writes a check for Rs 19.55 each month for his water bill. After how many months will Sunil and Arun have the same amount of money in their accounts ?

    Sunil has Rs 450 in her savings account . she deposits Rs 40 each month. Arun has Rs 975 in his checking account. He writes a check for Rs 45.90 each month for his cell phone bill. He also writes a check for Rs 19.55 each month for his water bill. After how many months will Sunil and Arun have the same amount of money in their accounts ?

    Maths-General
    General
    Maths-

    Vihan’s class is making care packages to give to victims of a natural disaster. Vihan packs one box in 5 minutes and has already packed 12 boxes. His friend Simaran packs one box in 7 minutes and has already packed 18 boxes. How many more minutes does each need to work in order to have packed the same number of boxes?

    Vihan’s class is making care packages to give to victims of a natural disaster. Vihan packs one box in 5 minutes and has already packed 12 boxes. His friend Simaran packs one box in 7 minutes and has already packed 18 boxes. How many more minutes does each need to work in order to have packed the same number of boxes?

    Maths-General
    parallel
    General
    Maths-

    Make a conjecture about the number of diagonals of a pentagon. Write a conjecture for the general case.

    Make a conjecture about the number of diagonals of a pentagon. Write a conjecture for the general case.

    Maths-General
    General
    General

    Express 3 to the power of negative 2 end exponent cross times 27 cross times 9 to the power of negative 3 end exponent as a power with base 3.

    Express 3 to the power of negative 2 end exponent cross times 27 cross times 9 to the power of negative 3 end exponent as a power with base 3.

    GeneralGeneral
    General
    Maths-

    Arun and Kiran work in a banquet hall. Arun earns a 20% commission on his food sales. Kiran earns a weekly salary of Rs 625 plus a 10% commission on his food sales . What amount of food sales will result in Arun and Kiran earning the same amount for the week ?

    Arun and Kiran work in a banquet hall. Arun earns a 20% commission on his food sales. Kiran earns a weekly salary of Rs 625 plus a 10% commission on his food sales . What amount of food sales will result in Arun and Kiran earning the same amount for the week ?

    Maths-General
    parallel
    General
    Maths-

    Make a conjecture about the sum of numbers from 1 to 7. Write a conjecture for the general case.

    Make a conjecture about the sum of numbers from 1 to 7. Write a conjecture for the general case.

    Maths-General
    General
    Maths-

    Solve the equation 96 - 4.5x - 3.2x = 5.6x + 42.80

    Solve the equation 96 - 4.5x - 3.2x = 5.6x + 42.80

    Maths-General
    General
    Maths-

    Kishore earns a weekly salary of Rs 925 and a 5% commission on his total sales. Neeraj earns a weekly salary of Rs. 1250 and a 3% commission on sales. What amount of sales will result in them earning the same amount for the week?

    Kishore earns a weekly salary of Rs 925 and a 5% commission on his total sales. Neeraj earns a weekly salary of Rs. 1250 and a 3% commission on sales. What amount of sales will result in them earning the same amount for the week?

    Maths-General
    parallel
    General
    Maths-

    Make and test a conjecture about the square of even numbers

    Make and test a conjecture about the square of even numbers

    Maths-General
    General
    Maths-

    Class A was given a sunflower with a height of 10 centimeters that grows at a rate of 3.5 cm per week. Class B was given a sunflower with height of 15 centimeters that grows at a rate of 3.25 cm per week After how many weeks are the sunflowers the same height?

    Class A was given a sunflower with a height of 10 centimeters that grows at a rate of 3.5 cm per week. Class B was given a sunflower with height of 15 centimeters that grows at a rate of 3.25 cm per week After how many weeks are the sunflowers the same height?

    Maths-General
    General
    Maths-

    Make and test a conjecture about the square of odd numbers.

    Make and test a conjecture about the square of odd numbers.

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.