Math, asked by gowsiya6703, 1 year ago

Pencils come in packs of six. Erasers come in packs of eight. Aron wants to purchase pencils and erasers such that he has exactly one eraser per pencil. i. What is the minimum number of pencils or erasers he can buy? ________ ii. What is the smallest number of packages of pencils and erasers Aron should buy? Pencil packs = _______ Eraser Packs = _______

Answers

Answered by tirth8153
6

Answer:

i) Pencils- 6

Erasers - 8

ii) 1and 1

Answered by sharonr
18

Aron should buy 4 pack of pencils and 3 pack of erasers so that he has exactly one eraser per pencil

The minimum number of pencils or erasers he can buy is 24

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

The minimum number of pencils or erasers he can buy is 24

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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