Question 907659
if y is equal to 10% of the number, then y * 5 = 50% of the number because 5 * 10% = 50%.


that's the logical interpretation.


the algebraic interpretation can be as follows:


y = .10 * x
solve for x to get x = y/.10


z = .50*x
replace x with y/.10 to get:
z = .50*y/.10
simplify to get:
z = 5*y


in the first equation, you're letting y = .10 * x
in the second equation, you're letting z = .50 * x
you solve for x in the first equation to get x = y/.10
you replace x with y/.10 in the second equation to get z = 5*y


the logical interpretation and the algebraic interpretation agree.
this is good.