A local homeowner association has voted to alter current fines for noise violations. Of the members who voted, 35% voted to raise fines, 10% voted to keep the fines the same, 30% voted to lower the fines, and the remaining 15 voted to eliminate the fines completely. How many more members voted to raise the fines than to lower the fines?

3 more members

Step-by-step explanation:

35% voted to raise fines

10% voted to keep the fines the same

30% voted to lower the fines

15 voted to eliminate the fines completely

in percentage we have

35+10+30=75%

so

15 is the 25%

so in total we have

4(25%)=4(15)

100%=60

there are 60 people

so we need

How many more members voted to raise the fines than to lower the fines?

and that we need

members voted to raise the fines

members

members voted to lower the fines

members

so the difference is

21-18=3

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

final total: 63

step-by-step explanation:

60 times sales tax

60 times 0.05

3

60 + 3

63