Jonathan and Kenneth shared a sum of money in the ratio of 3 : 4. After Jonathan spent 1/6 of his money and Kenneth spent $15 of his money, both Jonathan and Kenneth had the same amount of money left. How much money did they have at first!
consider Sum of money shared by both =x
Total: 3+4=7
Jonathan shared money = 3*x/7
Kenneth shared money = 4*x/7
Given
3x/7 -1/6*(3x/7) = 4x/7-15
3x/7-x/14 = 4x/7-15
5x/14 = 4x/7 -15
5x/14-4x/7=-15
-3x/14=-15
3x=15*14
x=5*14
x=70 $
Jonathan shared money = 3/7*70=30$
Kenneth shared money = 4/7*70=40 $
consider Sum of money shared by both =x
Total: 3+4=7
Jonathan shared money = 3*x/7
Kenneth shared money = 4*x/7
Given
3x/7 -1/6*(3x/7) = 4x/7-15
3x/7-x/14 = 4x/7-15
5x/14 = 4x/7 -15
5x/14-4x/7=-15
-3x/14=-15
3x=15*14
x=5*14
x=70 $
Jonathan shared money = 3/7*70=30$
Kenneth shared money = 4/7*70=40 $
Jonathan and Kenneth shared a sum of money in the ratio of 3 : 4. After Jonathan spent 1/6 of his money and Kenneth spent $15 of his money, both Jonathan and Kenneth had the same amount of money left. How much money did they have at first!
J : K = 3x : 4x
J spent 3x/6
K spent $15
3x - (3x/6) = 4x - 15
x = 10
Jonathan had $30
Kenneth had $40