Question

Pencils come in packages of 10.Erasers come in packages of 12. Phillips wants to purpose the smallest number of pencils and erasers so that he will have exactly 1 erasers per pencil.How many packages of pencils and erasers should Phillip buy.

Answer 1

Answer:

The answer to your question is:

Packages of pencils = 6

Packages of erasers = 5

Step-by-step explanation:

Data

Pencils = 10/package

Erasers = 12 / package

Process

Find the least common factor of 10 and 12

                                    10     12     2

                                     5       6     2

                                     5       3     3

                                     5        1    5

                                      1

LCF = 2 x 2 x 3 x 5 = 60

Finally divide 60 by the number of pencils or erasers in each package

Packages of pencils = 60/10 = 6

Packages of erasers = 60/12 = 5