Question

Sally is playing basketball. After she takes 20 shots, she has made of her shots. After she takes 5 more shots, she raises her percentage of shots made to . How many of the last 5 shots did she make

Answer 1

To find out how many of the last 5 shots Sally made, we can set up an equation to solve for the percentage of shots she made after taking the first 20 shots. By solving the equation, we can determine the number of shots she made out of the last 5.

Step-by-step explanation:

To find out how many of the last 5 shots Sally made, we need to determine the percentage of shots she made after taking the first 20 shots. Let's say she made x shots out of 20, so her percentage after 20 shots is x/20. We are given that her percentage after taking 5 more shots is y, which means that she made y out of 5 shots. We can set up the equation (x + y)/(20 + 5) = y/100 and solve for y.

First, cross multiply to get (x + y) * 100 = y * 25. Distribute to get 100x + 100y = 25y. Combine like terms to get 100x = 25y - 100y. Simplify the right side to get 100x = -75y. Divide both sides by -75 to get x = -3/4y. Since we know that x and y represent the number of shots made, they can only be positive integers. Therefore, y must be a multiple of 4 and x will be 3/4 times that multiple.

For example, if Sally made 20 shots out of her first 20 attempts (x = 20), then her percentage after taking the last 5 shots would be 60% (y = 3/4 * 20 = 15). This means she made 3 shots out of the last 5.

Answer 2

Sakshi made 3 out of her last 5 basketball shots to have an overall shooting percentage of 56% after taking a total of 25 shots.

Initially, Sakshi took 20 shots and made 55% of them.

That means the number of shots she made out of 20 is
`\(20 * 0.55 = 11\)`.

After taking 5 more shots, she has taken a total of 20 + 5 = 25 shots, and her overall percentage becomes 56%.

Let's denote the number of shots she made out of the last 5 shots as x.

So, the total shots made by her out of 25 shots become 11 + x (from the first 20 shots and the last 5 shots).

The overall percentage is calculated by finding the total number of shots made out of the total number of shots taken:

`\[\text{Overall percentage} = \frac{\text{Total shots made}}{\text{Total shots taken}} * 100\]`

Given the overall percentage is 56%, we can set up the equation:

`\[(11 + x)/(25) * 100 = 56\]`

Let's solve this equation to find the value of x, the number of shots made out of the last 5 shots.

`\[(11 + x)/(25) * 100 = 56\]`

`\[11 + x = 25 * 0.56\]`

11 + x = 14

x = 14 - 11

x = 3

Therefore, Sakshi made 3 shots out of her last 5 shots that went in.

Question:

Sakshi is playing basketball after she took 20 shots . she got in 55% of those shots . after she took 5 more shots the overall percentage of her shots that went in become 56% how many of her last 5 shots went in ?​