Final answer:
To solve the equation 2.5c−25=75, we add 25 to both sides and then divide both sides by 2.5 to find that c=40. This means that Teah sold 40 candy bars.
Step-by-step explanation:
The equation 2.5c−25=75 represents the situation where Teah spends $25 on a box of candy bars and sells each candy bar for $2.50. In this equation, 'c' represents the number of candy bars she sells.
To solve the equation, we need to isolate 'c' on one side of the equation. To do this, we can add 25 to both sides of the equation: 2.5c−25+25=75+25. This simplifies to 2.5c=100.
Next, we can divide both sides of the equation by 2.5 to solve for 'c': (2.5c)/2.5=100/2.5. This simplifies to c=40. Therefore, the solution c=40 means that Teah sold 40 candy bars.