Hope it helps.....................
0.25q + 0.1d = 4.95
d = 3q
0.25q + 0.1(3q) = 4.95
0.25q + 0.3q = 4.95
<u>0.55q</u> = <u>4.95</u>
0.55 0.55
q = 9
0.25(9) + 0.1d = 4.95
2.25 + 0.1d = 4.95
<u>- 2.25 - 2.25</u>
<u>0.1d</u> = <u>2.7</u>
0.1 0.1
d = 27
the assumption being that the first machine is the one on the left-hand-side and the second is the one on the right-hand-side.
the input goes to the 1st machine and the output of that goes to the 2nd machine.
a)
if she uses and input of 6 on the 2nd one, the result will be 6² - 6 = 30, if we feed that to the 1st one the result will be √( 30 - 5) = √25 = 5, so, simply having the machines swap places will work to get a final output of 5.
b)
clearly we can never get an output of -5 from a square root, however we can from the quadratic one, the 2nd machine/equation.
let's check something, we need a -5 on the 2nd, so

so if we use a "1" as the output on the first machine, we should be able to find out what input we need, let's do that.

so if we use an input of 6 on the first machine, we should be able to get a -5 as final output from the 2nd machine.

Answer:
You have the two numbers, so 36/60 is the ratio of boys to girls.
Step-by-step explanation:
You will want to simplify those numbers (reduce to lowest terms).
Multiply everything by 4 so you get rid of the fraction