The real cube root is 0.03 because...
(0.000027)^1/3 = (27 x 10^-6)^1/3 = 3 x 10^-2 = 0.03
There are infinitely many solutions because the first two equations are actually the same just arranged differently so there's not enough information to know what x or y are in other words they could be anything.
Here's our data:
15 questions total
Total number of points: 100
Spelling questions are worth 5 and represented by x
Vocab questions are worth 10 and represented by y
Therefore:
x+y=15
5x + 10y= 100
So:
x+y=15
x= 15-y
5x +10y =100
5(15 -y) +10y =100
75 -5y +10y =100
75 +5y = 100
5y=25
y=5
x +y=15
x+5=15
x=10
There are 10 spelling questions and 5 vocab questions