SOLUTION: Jill has six times as many dimes as Joan together that have a total of 84 dimes how many dimes does Jill have A. 7 B. 12 C. 63 D. 72

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Question 1009588: Jill has six times as many dimes as Joan together that have a total of 84 dimes how many dimes does Jill have
A. 7
B. 12
C. 63
D. 72

Found 3 solutions by jim_thompson5910, MathLover1, addingup:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
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

------------------------------------------------

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

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Jill has as many dimes as Joan
if Joan has dimes, then Jill has dimes
if they have together a total of dimes, then




so, Jill have dimes
answer is: B.

Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
The problem says:"Jill has 6*Joan, and it says that together, this is 6*Joan+Joan= 84. So let's call the dimes x:
6x+x= 84 Add x on left:
7x= 84 Now divide both sides by 7:
x= 12 Joan has 12 dimes, and Jill has:
12*6= 72
------------------------------
Check:
Joan has 12 and Jill has 72:
12+72= 84, we have the correct answer.

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