Posted by Surya on Thursday, February 23, 2012 at 10:25am.
Dear Genius,
Good day!
The number of apples in a basket is between 60 and 120. If i put these apples into bags of 5, there will be a remainder of 1 apple. If i put these apples into bags of 8, there will be a remainder of 6 apples. Find the total number of apples in the basket.
I managed to find out the answer using Guess and check method. Please kindly give the solution in other easier methods.
Thank you.
Surya

Maths  MathMate, Thursday, February 23, 2012 at 11:09am
The other methods are not easier, but can solve more problems. The other method makes use of the "Chinese remainder theorem" (CRT). If you have done modulo arithmetic, you can solve using the CRT. Otherwise you can proceed as follows (also guess & check).
If there is 1 left using bags of 5, the last digit must be 1 or 6.
In bags of 8, there are 6 left, so start with 54 (8*6+6=54) and add 8 until the last digit is 6 (cannot be 1).
Adding 32 will give 54+32=86 is therefore the answer. The next good answer will be 86+40=122>120.

Maths  erratum  MathMate, Thursday, February 23, 2012 at 11:16am
86+40=126(>120)
Answer This Question
Related Questions
 Maths  The number of apples in a basket is between 60 and 120. If i put these ...
 algebra  Joy is planning a party. One game she decides to play is bobbing for ...
 Math  Andrea has an equal number of apples in two baskets. There are z + 16 ...
 math  your are making apple pie for a school fund raiser you have 4 baskets of ...
 maths  Need help on this, Please : there was a total of 1134 durians, papayas ...
 Math  A grade six class is having a fundraiser. The class boys have three bags ...
 Math  The Farmers Market sells apples by the bushel, and each bushel of apples ...
 Math  Addison is making caramel apples. She has 2 1/2 bags of apples. One full ...
 maths  a grocey man sells 300 apples at Rs 50 per dozen. he sells 200 apples ...
 Division  Olivia picked 482 apples from the orchardâ€™s largest apple tree. She ...
More Related Questions