1. Name starts with; G
The steps used to find the first letter of the suspect's name are presented as follows;
1. The first proportion question is; 5/6 = G/24
5/6 = G/24
Multiplying both sides by 24, we get;
24 × (5/6) = 24 × (G/24)
24 × (G/24) = G
Therefore; 24 × (5/6) = G
G = 24 × (5/6) (Symmetric property)
24 × (5/6) = 20
The solution is G = 20
The second proportion is; 1/7 = J/91
Multiplying both sides by 91, we get;
91 × (1/7) = 91 × (J/91)
91 × (1/91) = J
Therefore; 91 × (1/7) = J
J = 91 × (1/7) (Symmetric property)
91 × (1/7) = 13
13 = J
The solution is J = 13 symmetric property
The greatest solution is; G = 20, therefore, the first letter of the suspect's name is G