Question 1207651
<br>
Let I, J, and K represent the amounts Iris, Jolene, and Karen contributed, respectively.<br>
Let x be the total cost.<br>
Then....<br>
I+J = (3/5)x
I+K = (13/20)x<br>
Add the two equations:<br>
2I+J+K= (3/5)x + (13/20)x = (12/20)x + (13/20)x = (25/20)x = (5/4)x<br>
But<br>
I+J+K = x<br>
so<br>
I = (2I+J+K)-(I+J+K) = (5/4)x-x = (1/4)x<br>
So Iris paid 1/4 of the total, which means Jolene and Karen together paid 3/4 of the total.  Jolene and Karen together spent $195:<br>
(3/4)x = 195
x = 195*(4/3) = 260<br>
The total cost was $260.<br>
So the amount Iris paid was 1/4 of $260, or $65.<br>
Iris and Karen together paid 13/20 of the total; Iris and Jolene together paid 3/5 of the total.  The difference between those amounts is the difference between what Karen paid and what Jolene paid:<br>
I+K = (13/20)x
I+J = (12/20)x
K-J = (I+K) - (I+J) = (1/20)x<br>
Karen spent (1/20)x = $13 more than Jolene; and together the two of them spent $195.  Use formal algebra or informal logical reasoning and simple arithmetic to determine that Karen spent $104 and Jolene spent $91.<br>
Now we have the amounts that each of them spent:<br>
Iris: $65
Jolene: $91
Karen: $104<br>
ANSWER: Jolene spent $91-$65 = $26 more than Iris.<br>