Abasket 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.

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

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