Posted by **Caroleen** on Tuesday, January 6, 2009 at 5:45pm.

Here's the question I'm having trouble with. Please walk me completely through the question and give me the answer so I can thoroughly understand it, so I can solve similar problems in the future.

#1: Mary uses a secret code to write messages. First, she translates each letter into a number based on its position in the alphabet, so that A=1, B=2, C=3, etc. Then, she multiplies this number by her favorite number and adds her mothers favorite number. Using her secret code, F becomes 65 and T becomes 177.

a. Find what number M becomes without finding Mary's favorite number.

b. What is Mary's favorite number and her mother's favorite number?

Thanks in advance. Any help is appreciated, even if you can only solve part of it. Thank you!

- Please help--algebra! -
**bobpursley**, Tuesday, January 6, 2009 at 6:17pm
let M be moms number, and N be mary's number.

then, you need the find what is F and T in the alphabet. Check me, but I think F is 6 and T is 20.

N*6+M=65

N*20+M=177

subtract the first equation from the second..

14N=112 solve that for Marys number, and then use either equation to find Moms number.

for part a, M is in the alphabet 13.

So

N*13+M=?

but you know

N*6+M=65

N*20+M=177

subtract equation 2 from 1), and

7N=?-65 double it

14N=2?-130

Now subtract equation 2 from 3

14N=112

subtracting the last from the one before it..

0=2?-130-112 or

2?=242 and you solve for ?

## Answer this Question

## Related Questions

- Algebra--please help! - I'm having some trouble with my algebra homework. Please...
- Algebra 1 - I'm having trouble solving x=2(x-1)+6 I understand but I get ...
- Algebra--help really needed! - I'm having some trouble with my algebra homework...
- Math : Algebra - I have a whole page of questions I'm trying to complete that ...
- More algebra--please help! - Here are some more questions I'm having trouble ...
- math - there's a question that I don't understand and the direction says that '...
- Math - Geometric Vectors - Find the length and the direction of the resultant of...
- Algebra - I have to work out this equation for my college paper and I am having ...
- Chemistry - Hi there - My labs and lectures aren't in synch at the moment so we ...
- english - I'm having trouble understanding how to answer this question about a ...