Rachna has nickels, dimes, and quarters in her piggy bank. she has $4.65 altogether.
she has three more quarters than dimes and twice as many nickels as quarters. how many quarters does rachna have?

a. 8
b. 11
c. 22
d. 41

For this case we have the following variables:

x: number of nickels

y: number of dimes

z: number of quarters

We now write the system of equations that models the problem:

Rewriting the equations as a function of z we have:

From here, we clear the value of z:

The number of quarters that Rachna has is:

B. 11

it would to have a graph or something ! but i had this question so its false

step-by-step explanation:

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.