Thread: Ratio

Ratio of two sums of money is 4:3

if larger sum of money is increased by $40, the ratio becomes 2:1.

What are sums of money ?

How to solve this ?


Solution

(4/7)*x+(3/7)*y=4:3

cant understand it....

Originally Posted by haftakhan

Ratio of two sums of money is 4:3

if larger sum of money is increased by $40, the ratio becomes 2:1.

What are sums of money ?

How to solve this ?


Solution

(4/7)*x+(3/7)*y=4:3

cant understand it....

Dear haftakhan,

Let x and y be the sums of money. Take x as the larger sum.



If larger sum of money is increased by $40, the ratio becomes 2:1.

Therefore,

Solve these two equations and find x and y.

solving this i get x=160 and y=120

is it correct ?

Originally Posted by haftakhan

solving this i get x=160 and y=120

is it correct ?

No. It is incorrect.

so those are in ratio 4:3.

But adding $40 to $160 give $200.
, or 5:3, not 2:1.

it may be easier to solve the two equations writing them like this:

3x = 4y
x+40 = 2y

one way of doing this, is to write (from the 2nd equation):

x = 2y - 40.

now use this in the first equation.

i was about to post the correct answer but the light went off.

x=80 and y=60

Originally Posted by haftakhan

i was about to post the correct answer but the light went off.

x=80 and y=60

Post #5 shows you how to check this answer for yourself.

ratio of two sums = 4 : 3 = ........... (1)
When $40 is increased to the larger sum, the ratio is = .........(given)

=
=
=
=
By replacing the value of x in the first equation, we get $80 and $60.
So the sum of $80 and $60 = $140.
We had $140. Answer.

I think you have understood this. All the best