Well you can't actually find a number, but you can make an equation.
lets call the bag of candy x, and the number of students in the teachers class S.
she gives every student in her class 4 pieces, so to find that amount, we have to multiply the number of students in her class by 4, the pieces of candy. 4S
afterwards she has 48 pieces, which is the endpoint, x is the starting point because that's the amount of candy the teacher started with.
so your equation is x-4S=48, but the thing is, the question is looking for the amount of students she gave candy to, so we have to isolate S, or in easier words; put S on one side, and the numbers on the other.
so the equation is S=1/4x-12
Answer:
-21
Step-by-step explanation:
because theres two negitives so it makes it a positive
Answer:
The length of each side of the city is 250b
Step-by-step explanation:
Given
--- tree distance from north gate
--- movement from south gate
--- movement in west direction from (b)
See attachment for illustration
Required
Find x
To do this, we have:
--- similar triangles
So, we have the following equivalent ratios
![AE:DE = AB:CB](https://tex.z-dn.net/?f=AE%3ADE%20%3D%20AB%3ACB)
Where:
![AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775](https://tex.z-dn.net/?f=AE%20%3D%2020%5C%5C%20DE%20%3D%20x%2F2%20%5C%5C%20AB%20%3D%2020%20%2B%20x%20%2B%2014%20%5C%5C%20CB%20%3D%201775)
Substitute these in the above equation
![20:x/2 = 20 + x + 14: 1775](https://tex.z-dn.net/?f=20%3Ax%2F2%20%3D%2020%20%2B%20x%20%2B%2014%3A%201775)
![20:x/2 = x + 34: 1775](https://tex.z-dn.net/?f=20%3Ax%2F2%20%3D%20x%20%2B%2034%3A%201775)
Express as fraction
![\frac{20}{x/2} = \frac{x + 34}{1775}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7Bx%2F2%7D%20%3D%20%5Cfrac%7Bx%20%2B%2034%7D%7B1775%7D)
![\frac{40}{x} = \frac{x + 34}{1775}](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7Bx%7D%20%3D%20%5Cfrac%7Bx%20%2B%2034%7D%7B1775%7D)
Cross multiply
![x *(x + 34) = 1775 * 40](https://tex.z-dn.net/?f=x%20%2A%28x%20%2B%2034%29%20%3D%201775%20%2A%2040)
Open bracket
![x^2 + 34x = 71000](https://tex.z-dn.net/?f=x%5E2%20%2B%2034x%20%3D%2071000)
Rewrite as:
![x^2 + 34x - 71000 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%2034x%20-%2071000%20%3D%200)
Expand
![x^2 + 284x -250x - 71000 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%20284x%20-250x%20-%2071000%20%3D%200)
Factorize
![x(x + 284) -250(x + 284)= 0](https://tex.z-dn.net/?f=x%28x%20%2B%20284%29%20-250%28x%20%2B%20284%29%3D%200)
Factor out x + 284
![(x - 250)(x + 284)= 0](https://tex.z-dn.net/?f=%28x%20-%20250%29%28x%20%2B%20284%29%3D%200)
Split
![x - 250 = 0 \ or\ x + 284= 0](https://tex.z-dn.net/?f=x%20-%20250%20%3D%200%20%5C%20or%5C%20x%20%2B%20284%3D%200)
Solve for x
![x = 250 \ or\ x =- 284](https://tex.z-dn.net/?f=x%20%3D%20250%20%5C%20or%5C%20x%20%3D-%20284)
x can't be negative;
So:
![x = 250](https://tex.z-dn.net/?f=x%20%3D%20250)