Question

1 Aasha, Biren and Cemal share $640 in the ratio 8 : 15 : 9.
(a) Show that Aasha receives $160. [1]
(b) Calculate the amount that Biren and Cemal receive. [2]
(c) Aasha uses her $160 to buy some books.
Each book costs $15.25 . Find the greatest number of books that she can buy.

Answer 1

Given:

(i) Aasha, Biren and Cemal share $640 in the ratio 8 : 15 : 9.

To find:

(i) Aasha receives $160.

(ii) The amount that Biren and Cemal receives.

(iii) The greatest number of books that Aasha can buy if she uses her $160 to buy some books where each book costs $15.25.

Solution:

The given ratio is 8:15:9

Let the common ratio be x.

So, total share = (8+15+9)x

= 32x

Aasha's share = $\frac{8x * Total money to be shared}{32x}$

= $\frac{Total money}{4}$

The total money is given as $640. So,

$$Aasha's share = \frac{640}{4} \\ 160$

Biren will receive

$  $= \frac{15x * Total money to be shared}{32x}\\= \frac{15*640}{32}\\ 300$

Cemal will receive

$  $= \frac{9x * Total money to be shared}{32x}\\= \frac{9*640}{32}\\ 180$

Number of books bought by Aasha

$= \frac{Total .money. she. has}{Price .of .one .book}\\= \frac{160}{15.25}\\ =10.49$

≈ 10             [Number of books cant be fractional]

(a) Aasha receives $160.

(b) Biren and Cemal receives $300 and $180 respectively.

(c) She can buy 10 books.

Answer 2

Answer: 1/24

Step-by-step explanation:

3/8 - 1/3

Find the LCM which is 24 , 8x3 = 24 and 3x8 =24

then multiply the denominator by the following values , as well as the numinator

$\frac{3X3}{8X3} - \frac{1X8}{3X8}$

$= \frac{9}{24}$$- \frac{8}{24}$

$= \frac{1}{24}$

and 24 is your answer :)