5/6x = -1/6 ...multiply both sides by 6/5
x = -1/6 * 6/5
x = - 6/30 reduces to -1/5
X - the amount of money collected by Aiden
y - the amount of money collected by Jacob
Aiden and Jacob collected money in the ratio of 3.5 : 6.8.
![\frac{x}{y}=\frac{3.5}{6.8} \\ 6.8x=3.5y \\ x=\frac{3.5}{6.8}y \\ x=\frac{35}{68}y](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B3.5%7D%7B6.8%7D%20%5C%5C%0A6.8x%3D3.5y%20%5C%5C%0Ax%3D%5Cfrac%7B3.5%7D%7B6.8%7Dy%20%5C%5C%20x%3D%5Cfrac%7B35%7D%7B68%7Dy)
Jacob collected $115.50 more than Aiden.
![x+115.5=y \\ x=y-115.5 \\ \\ x=x \\ \frac{35}{68}y=y-115.5 \\ \frac{35}{68}y-y=-115.5 \\ \frac{35}{68}y-\frac{68}{68}y=-115.5 \\ -\frac{33}{68}y=-115.5 \\ y=-115.5 \times (-\frac{68}{33}) \\ y=238 \\ \\ x=y-115.5=238-115.5=122.5 \\ \\ x+y=238+122.5=360.5](https://tex.z-dn.net/?f=x%2B115.5%3Dy%20%5C%5C%0Ax%3Dy-115.5%20%5C%5C%20%5C%5C%0Ax%3Dx%20%5C%5C%0A%5Cfrac%7B35%7D%7B68%7Dy%3Dy-115.5%20%5C%5C%0A%5Cfrac%7B35%7D%7B68%7Dy-y%3D-115.5%20%5C%5C%0A%5Cfrac%7B35%7D%7B68%7Dy-%5Cfrac%7B68%7D%7B68%7Dy%3D-115.5%20%5C%5C%0A-%5Cfrac%7B33%7D%7B68%7Dy%3D-115.5%20%5C%5C%0Ay%3D-115.5%20%5Ctimes%20%28-%5Cfrac%7B68%7D%7B33%7D%29%20%5C%5C%0Ay%3D238%20%5C%5C%20%5C%5C%0Ax%3Dy-115.5%3D238-115.5%3D122.5%20%5C%5C%20%5C%5C%0Ax%2By%3D238%2B122.5%3D360.5)
The total amount of money they collected is
$360.50.
Answer:
A
Step-by-step explanation:
Each coordinate of the triangle will have to dilate by 1/2 in order for the triangle to be fully dilated. Let's check each option to see which one has the correctly dilated points.
First, we'll look at A. A(4, 2) goes to A'(2, 1)... which is looking good so far! Half of 4 is 2, and half of 2 is 1, so the right dilation was applied. Next, let's check out B. B(-4, -2) goes to B'(-2, -1), which is still looking okay. Half of -4 is -2, and half of -2 is -1. Finally, we'll check the point C. If this one is correctly dilated, option A is the right option. C(2, -4) goes to C'(1, -2), and we can now be sure that option A is correct. Half of 2 is 1, and half of -4 is -2.
So, option A is the one to select. Hopefully that's helpful! :)