The answer is the 2nd option of 60 degrees.
You plug in n = 1 and solve, n= 2 then 3 etc.
n=1, a1 = 36-5(1-1) = 36
n=2, a2 = 36-5(2-1) = 31
n=3, a3 = 36-5(3-1) = 26
Data:
A (apple)
B (banana)
Lydia → 5A + 3B = 8.50 (I)
Ari → 3A + 2B = 5.25 (II)
Solving: S<span>ystem of equations that represents the given the situation.
</span>
![\left \{ {{5A + 3B = 8.50\:(I)} \atop {3A + 2B = 5.25\:(II) }} \right.](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7B5A%20%2B%203B%20%3D%208.50%5C%3A%28I%29%7D%20%5Catop%20%7B3A%20%2B%202B%20%3D%205.25%5C%3A%28II%29%0A%7D%7D%20%5Cright.%20)
Now let's find the values "A" and "B", we simulated to find the value of one of the unknowns:
![\left \{ {{5A + 3B = 8.50\:*(-2)} \atop {3A + 2B = 5.25\:*(3) }} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B5A%20%2B%203B%20%3D%208.50%5C%3A%2A%28-2%29%7D%20%5Catop%20%7B3A%20%2B%202B%20%3D%205.25%5C%3A%2A%283%29%20%7D%7D%20%5Cright.)
![\left \{ {{-10A -\diagup\!\!\!\!6B = -17.00} \atop {9A + \diagup\!\!\!\!6B = 15.75}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B-10A%20-%5Cdiagup%5C%21%5C%21%5C%21%5C%216B%20%3D%20-17.00%7D%20%5Catop%20%7B9A%20%2B%20%5Cdiagup%5C%21%5C%21%5C%21%5C%216B%20%3D%2015.75%7D%7D%20%5Cright.)
![-A=-1.25\:simplify\:*(-1)](https://tex.z-dn.net/?f=-A%3D-1.25%5C%3Asimplify%5C%3A%2A%28-1%29)
![\boxed{\boxed{A=\$\:1.25}}\end{array}}\qquad\quad\checkmark](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7BA%3D%5C%24%5C%3A1.25%7D%7D%5Cend%7Barray%7D%7D%5Cqquad%5Cquad%5Ccheckmark)
<span>Now substitute one of the equations to find the value of "B":
</span>
![5A + 3B = 8.50\:(I)](https://tex.z-dn.net/?f=5A%20%2B%203B%20%3D%208.50%5C%3A%28I%29)
![5*(1.25) + 3B = 8.50](https://tex.z-dn.net/?f=5%2A%281.25%29%20%2B%203B%20%3D%208.50)
![6.25 +3B = 8.50](https://tex.z-dn.net/?f=6.25%20%2B3B%20%3D%208.50)
![3B = 8.50-6.25](https://tex.z-dn.net/?f=3B%20%3D%208.50-6.25)
![3B = 2.25](https://tex.z-dn.net/?f=3B%20%3D%202.25)
![B = \frac{2.25}{3}](https://tex.z-dn.net/?f=B%20%3D%20%20%5Cfrac%7B2.25%7D%7B3%7D%20)
![\boxed{\boxed{B = \$\:0.75}}\end{array}}\qquad\quad\checkmark](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7BB%20%3D%20%5C%24%5C%3A0.75%7D%7D%5Cend%7Barray%7D%7D%5Cqquad%5Cquad%5Ccheckmark)
Answer:
Therefore, <span>a system of equations that represents the given the situation.
</span>