Question

In order to get a college tennis scholarship, Martha needs to bring her winning average to 80%. What is the number of matche she needs to win given that she alreafy won 19 out of 28?

Answer 1

To find the number of matches Martha needs to win in order to bring her winning average to 80%, set up an equation, solve for x, and calculate the value of x.

Step-by-step explanation:

To find the number of matches Martha needs to win in order to bring her winning average to 80%, we need to set up an equation.

Let x be the number of matches Martha needs to win.

The total number of matches she has played is 28, and she has already won 19, so she needs to win x more matches.

Her winning average is the ratio of the total number of matches won over the total number of matches played, which is 80%.

So, we can set up the equation: (19 + x) / 28 = 80%

Multiplying both sides of the equation by 28 gives us: 19 + x = 0.8 * 28

Subtracting 19 from both sides of the equation gives us: x = 0.8 * 28 - 19

We can solve this equation to find the value of x, which will give us the number of matches Martha needs to win.