For this problem,all we have to do is translate the word problem into algebraic equations. The equations are as follows:
L = √100 * x = 10x
W = 1/2*y - 3/2*x
Since A is equal to length times width
A = LW
If L is given, we can find the x. Therefore, we must set the equation where the dependent variable is y and the independent variable is x.
125 = LW
W = 125/L
1/2*y - 3/2*x = 125/10x
10x(1/2*y - 3/2*x) = 125
5xy - 15x² = 125
xy - 3x² = 25
y = (25+3x²)/x
<em>y = 25/x + 3x</em>
% increase = (final - initial) / initial * 100
= (131 - 92) / 92 * 100
= 39/92 * 100
= 3900/92
= 42.39%
In short, Your Answer would be 42.39%
Hope this helps!
1/2 for the dime and 0 for the die