Mr. Carter, Mr. Flynn, Mr. Milne, and Mr. Savage serve the little town of Milford as architect, banker, druggist, and grocer, though not necessarily respectively. Each man’s income is a whole number of dollars.

The druggist earns exactly twice as much as the grocer, the architect earns exactly twice as much as the druggist, and the banker earns exactly twice as much as the architect.

Although Mr. Carter does not make more money than Mr. Flynn, Mr. Flynn does not make twice as much as Mr. Carter.

Mr. Savage earns exactly $\$ 3776$ more than Mr. Milne.

**What is each man’s occupation?**

**Let’s solve this!**

Hidden Clue:

- We Know there’s 4 person, Carter(C), Flynn(F), Milne(M), Savage(S)
- We also know there’s 4 jobs, Architect, Banker, Druggist and Grocer
**The druggist (D) earns exactly twice as much as the grocer (G), the architect (A) earns exactly twice as much as the druggist, and the banker (B) earns exactly twice as much as the architect.**From this sentence we can infer that $D = 2G, A=2D, B=2A$ and we can also infer that $G<D<B<A$ as their income comparison.- From 3rd rule, we can know that, $D=2G, A=4G, B=8G$ or as ratio we know that $G:D:A:B = 1:2:4:8$
- From this sentence “
**Each man’s income is a whole number of dollars. “**and this sentence “**Mr. Savage earns exactly $\$ 3776$ more than Mr. Milne**“,We can infer that $S-M = \$3776$. - $S-M = \$3776$. this equations is the most important one because it means we have to solve it using the ratio from 4th rule and the ratio has to divide 3776 completely (rule 4th). The only ratio that can divide it completely is $B-A$ or $A-D$ Because $3776=2^6 \times 59$. The difference should also be 3776.
- The only Ratio that can solve rule 6th is
**$A-D$**so $M \rightarrow D$ and $A \rightarrow S$. And from this sentence “**Although Mr. Carter does not make more money than Mr. Flynn, Mr. Flynn does not make twice as much as Mr. Carter”.**$C \rightarrow G$ and $F\rightarrow B$

Grocer | Druggist | Architect | Banker |

Carter | Milne | Savage | Flynn |