Answer:
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
