SOLUTION: The ratio of two sums of money is 4:3. If the larger sum of money is increased by 40$, the ratio becomes 2:1. Find the sum of the money.
Algebra.Com
Question 205482: The ratio of two sums of money is 4:3. If the larger sum of money is increased by 40$, the ratio becomes 2:1. Find the sum of the money.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The ratio of two sums of money is 4:3.
If the larger sum of money is increased by 40$, the ratio becomes 2:1.
Find the sum of the money.
:
Two sums of money:, x & y
"The ratio of two sums of money is 4:3."
=
Cross multiply
3x = 4y
x = y
:
" If the larger sum of money is increased by 40$, the ratio becomes 2:1."
=
Cross multiply
2y = (x+40)
:
Find the sum of the money.
Replace x with y in the above equation
2y = y + 40
multiply equation by 3 to get rid of the denominator
3(2y) = 3*y + 3(40)
6y = 4y + 120
6y - 4y = 120
2y = 120
y = $60 is the smaller amt
:
find x
x = (60)
x = 4(20)
x = $80 is the larger amt
RELATED QUESTIONS
The ratio of two sums of money is 4:3. If the larger sum of money is increased by $40,... (answered by ewatrrr)
Sum of money was divided in the ratio 3 : 4 if the larger share was 240 find the sum of... (answered by ewatrrr)
Two numbers are in the ratio 1:3. If the sum of the two numbers is increased by 2, the... (answered by sachi)
Two sums of money are in the ratio 2:5 the larger is $400
What is the smaller amount?... (answered by stanbon)
Two numbers are in the ratio of 5:3. If the smaller number is increased by 11 the ratio... (answered by josgarithmetic,ikleyn)
A sum of money is divided into two parts in the ratio 5:7. If the smaller amount is $200, (answered by ewatrrr)
Two numbers are in the ratio 2 : 3. If 2 is subtracted from the first and 2 is added to... (answered by stanbon)
A sum of money is divided amoung three brothers in the ratio 3:5:4.if one quarter of the... (answered by Fombitz)
1) Two numbers are in the ratio of 3:5. If 8 is subtracted from their sum, the result is... (answered by ankor@dixie-net.com)