Question

£360 is shared between Abby, ben, chloe and denesh. the ratio of the amount abby gets to the amount that ben gets is 2:7. chloe and denesh get 1.5 times the amount abby gets. work out the amount of money that ben gets.

Answer 1

Answer:

$210$ £

Step-by-step explanation:

Let amount that abby gets$=x$

Given that $\frac{Amount\ of\ abby}{Amount\ of\ Ben} =\frac{2}{7}$

$Amount\ of\ ben=\frac{7}{2}\times Amount\ of\ abby\\ =\frac{7}{2}\ x$

Amount of chole + amount of Danesh $=1.5\times$of abby

                                                                      $=1.5 \ x$

$x +\frac{7}{2} \ x + 1.5 \ x =360\\\\6x=360\\\\x=\frac{360}{6}\\\\x=60$

$Amount\ of\ Ben =\frac{7}{2}\ x = \frac{7}{2} \times 60\\\\=7\times 30\\\\=210$

Answer 2

The amount got by Ben =  £210

£360 is shared between Abby, Ben, Chloe and Denesh.

The ratio of the amount Abby gets to the amount that Ben gets is 2:7.

Chloe and Denesh get 1.5 times the amount Abby gets.

We have to work out the amount of money that Ben gets.

Let the amount  Abby gets = x ...........(1)

According to the given situation

$\rm \dfrac{Amount\; got\; by\; Abby }{Amount \; got \; by \; Ben }= \dfrac{2}{7}$

$\rm Amount \; got \; by \; Ben = (7/2) x......(2)$

$\rm Amouut\; goy \; by\; Chole + Amount\; got \; by \; Denesh = 1.5 x........(3)$

The total amount = £360

From equation (1) (2) and (3) we get

$\rm x + (7/2)x + 1.5x = 360\\x(1+3.5 +1.5) = 360\\x (6) = 360 \\x = 360/6= 60$

The amount got by Abby = £60

So  the amount got by Ben = 3.5 (60)  =  £210

For more information please refer to the link below

https://brainly.com/question/19257327