Ask Question
20 January, 12:23

A basket with 25 similar balls has a mass of 10.3 kg. The same basket with

10 similar balls has a mass of 4.45 kg. What is the mass of the box?

Give your answer in grams.

+2
Answers (2)
  1. 20 January, 12:45
    0
    550 grams

    Step-by-step explanation:

    From the given knowledge we can set up 2 equations:

    25x + y = 10.3

    10x + y = 4.45

    where x represents the amount of balls, and y represents the weight of the basket.

    We can solve one equation for y and then plug that into the other equation.

    Solve 25x + y = 10.3 for y:

    25 x + y = 10.3

    25x + y + (-25x) = 10.3 + (-25x) (Add - 25x to both sides)

    y = - 25x + 10.3

    We can plug in this value of y into the other equation and solve for y

    Substitute-25x+10.3 for y in 10x + y = 4.45:

    10x + y = 4.45

    10x + (-25x) + 10.3 = 4.45

    -15x + 10.3 = 4.45 (Simplify both sides of the equation)

    -15x + 10.3 + (-10.3) = 4.45 + (-10.3) (Add - 10.3 to both sides)

    -15x = - 5.85 (Divide both sides by - 15)

    x=0.39

    Now we know what the weight of each ball is. We just need to substitute. 39 for x to find y to get the weight of the basket.

    Substitute 0.39 for x in y = - 25x + 10.3:

    y = - 25 x + 10.3

    y = (-25) (0.39) + 10.3

    y = 0.55 (Simplify both sides of the equation)

    So the basket weight. 55kg, or 550 grams
  2. 20 January, 12:52
    0
    10.3 kg + 4.45 kg = 14750
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A basket with 25 similar balls has a mass of 10.3 kg. The same basket with 10 similar balls has a mass of 4.45 kg. What is the mass of the ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers