Find the solution by graphing the system of equations.
-A shopkeeper ordered a total of 30 pounds of cashews and peanuts. He ordered 20 fewer pounds of cashews than peanuts. We can represent this situation with the system of equations
C + p = 30
P - c = 20
Where p represents the pounds of peanuts and c represents the pounds of cashews. How many pounds of peanuts did
He order?
A) 25 lb
B) 15 lb
C) 5 lb
D) 10 lb

Question

Quizplus · Accepted Answer

Graphing the system of equations $C + P = 30$ and $P - C = 20$, we find the intersection point that satisfies both equations. Solving the system algebraically, we can substitute $C = 30 - P$ into the second equation to get $P - (30 - P) = 20$, simplifying to $2P = 50$, and thus $P = 25$. This means the shopkeeper ordered 25 pounds of peanuts.

Find the Solution by Graphing the System of Equations