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# fractions, ratios

+1
80
2

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!

Jul 9, 2021

#1
+3

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 \$

Jul 9, 2021

#1
+3

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 \$

apsiganocj Jul 9, 2021
#2
+2

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