1/5 of chicken John had is equal to 3/4 of Mark.

John sold 150 chickens while Mark bought 160.

The remider is in a ratio of 5:3, for John & Mark respectively.

What was the total number of chickens both had at first.

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- Apr 29th 2009, 07:44 AMpriRatio help
1/5 of chicken John had is equal to 3/4 of Mark.

John sold 150 chickens while Mark bought 160.

The remider is in a ratio of 5:3, for John & Mark respectively.

What was the total number of chickens both had at first. - Apr 29th 2009, 08:00 AMUnenlightened
Let J be the amount John had at the start, and let M be the amount Mark had at the start.

So J/5 = 3M/4

Then if J' is the amount that John had after the buying and selling, and M' is the amount Mark had after buying and selling, then the 5:3 ratio tells us that

3J'/8 = 5M'/8

We also know that J' = J - 150

and M' = M + 160.

So if we replace J' and M' with those

we get:

So we have two simultaneous equations with two unknowns:

And solve... - Apr 29th 2009, 08:04 AMTwighi
hi!

Let be notations for chickens for John and for Mark.

We have that:

We have also:

So, you have two equations and two unknowns. Can you proceed from here?