Box A contained only 50 cent coins while Box B contained only 20 cents coins, Box B has 60 more coins than Box A but the value of all the coins in Box A is $4.50 more than the value of all the coins in Box B. Find the amount of money in Box A.

Please help me to solve this question, thanks so much.

  1. 👍 0
  2. 👎 0
  3. 👁 424
  1. number of coins in box B ---- b , 20 cent pieces
    number of coins in box A ---- a , 50 cent pieces

    equation dealing with number of coins:
    b = a+60

    equation dealing with value of coins:
    50a - 20b = 450
    5a - 2b = 45
    use substitution:
    5a - 2(a+60) = 45
    5a - 2a - 120 = 45
    3a = 165
    a = 55 , then b = 115

    Box A contains 55(50) = $27.50
    box B contains 20(115) = $23.00
    box A contains 27.50 - 23.00 more , or $4.50
    (my answer is correct)

    1. 👍 2
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics multiple choice

    A person pushes horizontally with constant force P on a 230 N box resting on a frictionless horizontal floor. Which of the following statements about this box is correct? A.The box will accelerate no matter how small P is. B. The

  2. Physics

    Two horizontal forces, F1-> and F2-> , are acting on a box, but only F1->is shown in the drawing. F2-> can point either to the right or to the left. The box moves only along the x axis. There is no friction between the box and the

  3. physics

    A student pulls on a rope attached to a box of books and moves the box down the hall. The student pulls with a force of 182N at an angle of 25° above the horizontal. The box has a mass of 35kg and &mu k between the box and the

  4. physics

    A 1.5 kg box moves back and forth on a horizontal frictionless surface between two springs.? The box is initially compressed against the stronger spring, K=32 N/cm, 4.0 cm and released from rest. The smaller box is K=16 N/cm. A)

  1. Physics

    You drag a heavy box along a rough horixontal floor by a horizontal rope. Identify the reaction force to each ofthe follwing forces: A) the pull of the tope on the box. B) the friction force on the box C) the normal force on the

  2. Math

    Jun Wei has 12 more 10 cent coins than 20 cent coins. The total value of all his coins is $5.40. Find the total number of coins he has.

  3. physics

    A clerk moves a box of cans down an aisle by pulling on a strap attached to the box. The clerk pulls with a force of 173.0 N at an angle of 31° with the horizontal. The box has a mass of 40 kg, and the coefficient of kinetic

  4. Calculus

    A craftsman wants to make a cylindrical jewelry box that has volume, V, equal to 60 cubic inches. He will make the base and side of the box out of a metal that costs 50 cents per square inch. The lid of the box will be made from a

  1. Math

    Cheryl gave Brenda 7 coins worth .92 cents. Two coins were quarters. What were the other 5 coins?

  2. Physics-forces

    1. a force of 250N is used to push a heavy box down the street. If the force of friction between the box and the street is 195N and the box has a mass of 60kg, what is the accleration of the box? 2.a force of 40N is applied to a

  3. physics

    The drawing shows a top view of a square box lying on a frictionless floor. Three forces, which are drawn to scale, act on the box. Consider an angular acceleration with respect to an axis through the center of the box

  4. math

    A collection of coins contains only 10-cent and 5-cent coins.There are x 5cent coins in the collection. Write an algebraic expression for of following. * The total value of the coins if for every three 10-cent coins there are five

You can view more similar questions or ask a new question.