Mathew attempted 24 basketball shots and made 12 of them. If he shoots at the same rate and makes 16 shots, how many attempts did he make?

Respuesta :

Answer:

Total number of attempts made = 32

Step-by-step explanation:

Mathew attempted basketball shots = 24

Out of them he made the goals = 12

Rate of making goals = [tex]\frac{\text{Total number of goals made}}{\text{Total number of shots}}[/tex]

                                    = [tex]\frac{12}{24}[/tex]

                                    = [tex]\frac{1}{2}[/tex]

With the same rate he made the goals = 16

Therefore, [tex]\frac{1}{2}=\frac{\text{Number of goals made}}{\text{Total number of attempts}}[/tex]

[tex]\frac{1}{2}=\frac{16}{\text{Total number of attempts made}}[/tex]

Total number of attempts made by Mathew = 16 × 2

                                                                         = 32