Posted by **Eleana M** on Tuesday, February 1, 2011 at 6:20pm.

Maxie counted her dimes,when she put them in a groups of 4 she had 2 left over, groups of 5 1 left over. What is the smallest number of dimes she could have over if she has more than 10

- Math -
**MathMate**, Tuesday, February 1, 2011 at 8:00pm
You are looking for the smallest number N that satisfies

N mod 4 = 2, ....(1)

N mod 5 = 1 .....(2)

Since N mod 4 = 2 can only be satisfied by an even number, N can only be a number that ends in the digit 6 if (2) is to be satisfied.

Since it is over 10, and 16 does not satisfy (1), we choose 26 as the smallest number over 10 that satisfies the two given conditions.

For a formal treatment of this class of problems, look up the "Chinese remainder theorem".

## Answer this Question

## Related Questions

- 3rd grade - Mazie counted her dimes. When she put them in groups of 4, she had 2...
- Math - Maize counted her dime.when she put them in groups of 4 ,she had two ...
- Maths - marie puts dimes in groups of 4 with 2 dimes left over. When she puts ...
- algebra - a farmer is taking her eggs to market in her cart, but she hits a ...
- math - I am a 2-digit number over 50. When you put me in groups of 7, two are ...
- Math - I'm having alot of problems with the problem. I don't want the answer but...
- Math - Equal groups riddle. I am a number between 20 and 30. When you put me ...
- 4th grade - i am a two-digit number over 50. when you put me in groups of seven...
- Math - If you put me into 7 equal groups with 3 in each group and 5 are left ...
- math - If you put me into 7 equal groups with 3 in each group and 5 left over,, ...

More Related Questions