Question

Q#1 a. Huixian needs to pack 171 pens, 63 pencils and 27 erasers into identical gift bags so that

each item is equally distributed among the gift bags. Find

i- Find the largest number of gift bags that can be packed.

ii- The number of each item in a gift bag.

solve by calculation in details step by step ​

Answer 1

Question

Huixian needs to pack 171 pens, 63 pencils and 27 erasers into identical gift bags so that  each item is equally distributed among the gift bags. Find

i- Find the largest number of gift bags that can be packed.

ii- The number of each item in a gift bag.

$\rule{300}{1}$

Answer

(i) First we need to find the HCF of 171, 63 and 27.

There are two methods to do so.

Method 1

171 = 3×3×19

63 = 3×3×7

27 = 3×3×3

HCF of 171, 63 and 27 is '3' since thats the highest number that is common among all the numbers.

Method 2

$\begin{array}{r | l} 3 & 171,63,27 \\ \cline{2-2} 3 & 57, 21, 9 \\ \cline{2-2} & 19,7,3 \\ \end{array}$

HCF of 171, 63 and 27 is 3×3 = 9

∴The HCF of 171, 63 and 27 is 9.

∴ The largest number of gift bags that can be packed is 9.

(ii) Since the largest number of gift bags that can be packed is 9, we have to divide 9 by all the numbers to find the answer.

171÷9 = 19

63÷9 = 7

27÷9 = 3

∴There are 19 pens, 7 pencils and 3 erasers in each gift bag.

$\rule{300}{1}$

Answer 2

Answer:

my face112233322233334445555555555566555456&'&-+7666666666666667777