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
.
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:
![\[\text{Overall percentage} = \frac{\text{Total shots made}}{\text{Total shots taken}} * 100\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/9xw74fmd9g5qbrhuocyy786ezq00opbft9.png)
Given the overall percentage is 56%, we can set up the equation:
![\[(11 + x)/(25) * 100 = 56\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/s0k5xxmhqypq5e81ky0xrlc7t6c6k1ir4m.png)
Let's solve this equation to find the value of x, the number of shots made out of the last 5 shots.
![\[(11 + x)/(25) * 100 = 56\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/s0k5xxmhqypq5e81ky0xrlc7t6c6k1ir4m.png)
![\[11 + x = 25 * 0.56\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/y8f21alvv2wsbqryjxnvm0z0tditw42qlz.png)
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 ?