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