Maths Question ;s?

Question

bill and ben run a gardening service in their spare time. they share the money they make in the ratio of the number of hours they eacho work.

a) one week bill works 6 hours and ben 15 hours. their total earnings are 88.20$... so they each received 44.1 $

Another week, they decided to charge more for the work. bill works 17 hours and earns 79.90$ ben works for 23 hours.

How much did ben Earn?

Answer 1

$123.14
sorry that's how much they earn together,
Ben earns $43.24

Here's how I got there...

To earn the same amount $44.10 they both worked different hours. Bill 6, Ben 15.
15/6=2.5 or 6/15=0.4
Therefore bills hourly rate is 2.5 times Ben's or alternatively, Ben's hourly rate is 0.4 times bills.

Now if bill earns $79.90 for 17 hours the he is getting 79.9/17=$4.70 an hour. Therefor Ben gets 0.4 times that amount an hour. $4.70x0.4=$1.88 an hour.

so if he works 23 hours at $1.88 an hour he gets, 23x1.88=$43.24 total.

Hope that helps.

Answer 2

You say that they get paid in the ratio of the number of hours that they worked yet in part a they both get paid the same even though they worked a different number of hours.

Answer 3

I think it's $108.10 { not saying it is but I think thats what it is}

Answer 4

it is$108.10
17*x=79.90
x=4.7
23*4.7=108.10