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

                                                                      $=1.5 \ x$

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

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