while shopping. jill spent six times as much as amy.if they spent a total of $84, how much did each person spend?
the 14 music club members each paid the same amount for dues.the club also earned $370 selling magazine subscriptions. they spent $600 to orangize a jazz festival. now thier bank account which stsrted a $0, is overdrawn by $10. how much did each memnber pay in dues?
jill is 6x, Amy is 1x
7x = $84 x= 12,
Jill $72, Amy $12.
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x = amount in Dues
14 x + 370 - 600 = -10
14 x = 220
x = $15.71
It doesn't work out exact due to rounding of the penny. The club would have overdrawn by 10.06 in the account.
To solve this problem, let's use variables to represent the amounts Jill and Amy spent. Let's say Jill spent J dollars, and Amy spent A dollars.
According to the given information, Jill spent six times as much as Amy, so we can write the equation:
Jill's spending = 6 * Amy's spending
J = 6A
We also know that the total amount spent by both Jill and Amy is $84. So we can write another equation:
Jill's spending + Amy's spending = $84
J + A = $84
Now we have a system of two equations:
J = 6A ---(1)
J + A = $84 --- (2)
To solve this system of equations, we can use substitution or elimination method. In this case, let's use substitution:
Substitute equation (1) into equation (2):
6A + A = $84
7A = $84
Divide both sides by 7 to solve for A:
A = $12
Now substitute the value of A back into equation (1) to find J:
J = 6 * A
J = 6 * $12
J = $72
Therefore, Jill spent $72 and Amy spent $12 while shopping.