Question

A sum of money is shared amongst three friends, Shai, Toni and Mara in the ratio 6:5:9 respectively. If Toni received $160, how much money did Shai and Mara receive?
HELP pls so confused btw show working thx

Answer 1

Answer:

let the number of money shared

6x 5x and 9X

now 6 + 5 + 9 will be 20

so

6 X =160

20

so now the value of x will be

Answer 2

Given:

A sum of money is shared amongst three friends, Shai, Toni and Mara in the ratio 6:5:9 .

Toni received $160

To find :

The amount of money Shai and Mara received.

Solution:

Step 1 of 2:

The ratio of sum of money shared among Shai, Toni and Mara is 6:5:9

Sum of the ratio = 6 + 5 + 9

Sum of the ratio = 20

Let the sum of money shared be $x.

Shai's share = $\frac{6}{20}$ × $x$

Toni's share = $\frac{5}{20}$ × $x$

Mara's share = $\frac{9}{20}$ × $x$

Step 2 of 2:

Toni received $160

Therefore,

$\frac{5x}{20}$ = 160

5x = 160 × 20

5x = 3200

x = $\frac{3200}{5}$

x = 640

Shai's share = $\frac{6}{20}$ × $x$

Shai's share = $\frac{6}{20}$ × 640

Shai's share = 6 × 32

Shai's share = 192

Shai received $192

Mara's share = $\frac{9}{20}$ × $x$

Mara's share = $\frac{9}{20}$ × 640

Mara's share = 9 × 32

Mara's share = 288

Mara received $288

Final answer:

The amount of money Shai received is $192

The amount of money Mara received is $288