Question

Assume that the number of defective basketballs produced is related by a linear equation to the total number produced. Suppose that 9 defective balls are produced in a lot of 225, and 14 defective balls are produced in a lot of 350. Find the number of defective balls produced in a lot of 550 balls.

Answer 1

Answer: 22 defective balls

Step-by-step explanation:

Using the law of equality,

9 defective balls = 225 ...eqn 1.

14 defective balls = 350...eqn 2

x defective balls = 550...eqn 3

We can use any two of the equations above to get the unknown variable 'x'

Using equations 2 and 3,

14 defective balls = 350...eqn 2

x defective balls = 550...eqn 3

We cross multiply to have

x×350 = 14×550

Dividing both sides by 350,

x = 14×550/350

x = 22.

Therefore, the number of defective balls produced in a lot of 550 balls are 22balls.

Note that we will still arrive at the same answer (22balls) if equation 1 and 3 are used for our solution.

Thank you!