Answer:
[tex]S : T = 5 : 8[/tex]
Step-by-step explanation:
Represent the first half with F and the second with S
We have that:
[tex]F = 9[/tex] --- From the first statement
[tex]S = 2F - 3[/tex] --- From the next statement
Required
Determine the ratio of S to the total point
First, we need to determine the value of S
Substitute 9 for F in [tex]S = 2F - 3[/tex]
[tex]S = 2 * 9 - 3[/tex]
[tex]S = 18 - 3[/tex]
[tex]S = 15[/tex]
Next, we determine the total points
[tex]Total = F + S[/tex]
[tex]Total = 9 + 15[/tex]
[tex]Total = 24[/tex]
The ratio of S to total is: (Represent total with T)
[tex]S : T = 15 : 24[/tex]
Divide both ration by 3
[tex]S : T = 15/3 : 24/3[/tex]
[tex]S : T = 5 : 8[/tex]
Hence, the ratio is 5 to 8
