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 ...
 Math 1350  When Mike sorts his marbles, he notices that if he put them in ...
 Algebra  You are playing with a pile of beads and notice if you put them in ...
 algebra  a farmer is taking her eggs to market in her cart, but she hits a ...
 math  Abel Save a 43 more nickels than dimes. After he spents 17 dimes, he had ...
 Math  Abel Save a 43 more nickels than dimes. After he spents 17 dimes, he had ...
 Math  I'm having alot of problems with the problem. I don't want the answer but...
 math  I am a 2digit number over 50. When you put me in groups of 7, two are ...
More Related Questions