Question 1009588
x = number of dimes Jill has
y = number of dimes Joan has


"Jill has six times as many dimes as Joan"
x = 6y



together they have a total of 84 dimes
x+y = 84


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x+y = 84 ... focus on the first equation


6y+y = 84 ... replace x with 6y (x = 6y)


7y = 84


7y/7 = 84/7


y = 12


Use this to find x


x = 6y


x = 6*12 ... replace y with 12 (since y = 12 was found above)


x = 72


Jill has 72 dimes