Question

Problem No.1
The Science Club collected bottles for every class in Grade Six for their fund raising project,Section A collected 9 1/2 kg,Section B 7 1/3 kg,Section C 8 3/4 kg of bottles.What is the average collection of bottles per section?

Problem No.2
Msr. Padayhag made 300 cookies. She sold 3/4 of it. She gave 1/3 of the remainder to her sister and equally shared the rest to her 5 friends. How many cookies did each of her friend get?

please anser step by steb and understandable

Answer 1

PROBLEM 1:

Given:

The Science Club collected bottles for every class in Grade Six for their fundraising project, Section A collected 9 1/2 kg, Section B 7 1/3 kg, Section C 8 3/4 kg of bottles. What is the average collection of bottles per section?

To find:

What is the average collection of bottles per section?

Solution:

The collection of bottles from each section are as follows:

Section A → $9\frac{1}{2} \:kg = \frac{19}{2}\:kg$

Section B → $7\frac{1}{3} \:kg = \frac{22}{3}\:kg$

Section C → $8\frac{3}{4} \:kg = \frac{35}{4}\:kg$

No. of sections(i.e., A, B & C) = 3

We know,

$\boxed{\bold{Average = \frac{Sum \:of\:observations}{No. \:of\: observations} }}$

Therefore,

The average collection of bottles per section is,

= $\frac{Sum\:of\:quantity\:of\:bottles \:collected}{No. \:of \:sections}$

$= \frac{\bigg{\frac{19}{2} \:+\:\frac{22}{3} \:+\:\frac{35}{4}} }{\bigg{3}}$

$= \:\bigg{\frac{\bigg{\frac{114 \:+\:88\:+\:105}{12}} }{3}}$

$= \:\bigg{\frac{\bigg{\frac{307}{12}} }{3}}$

$= \: \frac{307}{36}$

$=\bold{8\frac{19}{36}}\:kg }$

Thus, the average collection of bottles per section is → $\underline{\bold{8\frac{19}{36}}\:kg }}$.

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PROBLEM 2:

Given:

Ms. Padayhag made 300 cookies. She sold 3/4 of it. She gave 1/3 of the remainder to her sister and equally shared the rest with her 5 friends. How many cookies did each of her friends get?

To find:

How many cookies did each of her friends get?

Solution:

Total no. of cookies Ms. Padayhag made = 300

She sold 3/4 of it

i.e., No. of cookies she sold = $\frac{3}{4} \times 300 = 225$

∴ The remaining no. of cookies after selling = 300 - 225 = 75

She gave 1/3 of the remainder to her sister

i.e., No. of cookies she gave to her sister = $\frac{1}{3} \times 75 = 25$

∴ The remaining no. of cookies after giving to sister = 75 - 25 = 50

She equally shared the rest with her 5 friends

i.e., No. of cookies she equally distributed = $\frac{50}{5} = 10$

∴ Each of her friends gets = 10 cookies

Thus, each of her friends gets → 10 cookies.

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