Question

Chris and Dave and Ed share £720 between them. Chris receives £90 more than Dave. The ratio of Chris's share to Dave's share is 7:5. Work out the ratio of Ed's share to Dave's share

Answer 1

Answer:

Ratio of Ed's share :  Dave's share  = 4 : 5

Step-by-step explanation:

Total amount shared =  £720

Let us assume that Dave receives =  £m

So, Chris's share = £90 + m

Also, Chris's share : Dave's Share = 7: 5

⇒$\frac{90 + m}{m}  = \frac{7}{5}$

Here, solving for m , we get :  5(90 + m) = 7m

or,  450 + 5m = 7m

⇒ 2m = 450, ⇒ m = 225

So, Dave's Share =  m = £225

Chris's share = £90 + m = 225 + 90  = £ 315

Hence, Ed's share = Total - ( sum of Dave's and Chris's share)

= 720 -( 315 + 225) = £180

So, ratio of Ed's share :  Dave's share = £180 : £225

or, Ratio of Ed's share :  Dave's share  = 4: 5