Pencils come in packs of six . Erasers come in a pack of eight. Aron wants to purchase pencils and erasers such that he has exactly one eraser per pencil.
Answers
Answer:
Aron must by 4 packets of pencils and 3 packets of eraser
then he would get exactly 1 eraser for each pencil
ie, for 24 pencils he would get 24 erasers
Aron should buy 4 pack of pencils and 3 pack of erasers so that he has exactly one eraser per pencil
Solution:
Given that,
Pencils come in packs of six
Which means,
Each pack = 6 pencils
Erasers come in a pack of eight
Which means,
Each pack = 8 erasers
Aron wants to purchase pencils and erasers such that he has exactly one eraser per pencil
Which means,
Number of pencils is equal to number of erasers
We need to find how many packs would satisfy this situation
Find the LCM of 6 and 8
List all prime factors for each number.
Prime Factorization of 6 is: 2 x 3
Prime Factorization of 8 is: 2 x 2 x 2
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list
2, 2, 2, 3
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 3 = 24
Thus,
Pack of pencils = 24/6 = 4
Pack of erasers = 24/8 = 3
Thus, Aron should buy 4 pack of pencils and 3 pack of erasers so that he has exactly one eraser per pencil
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