Sunday

December 21, 2014

December 21, 2014

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

#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 6:17pmlet 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 ?

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