Final answer:
The sentence can be translated into the equation: 4(c - 5) = 24. To solve the equation, distribute the 4, isolate the variable, and solve for c.
Step-by-step explanation:
The sentence can be translated into the equation: 4(c - 5) = 24. This equation represents the phrase 'Four times the difference of a number and 5 is 24.'
To solve the equation, we can start by distributing the 4 to the terms inside the parentheses: 4c - 20 = 24.
Next, we can isolate the variable c by adding 20 to both sides of the equation: 4c = 44.
Finally, we can solve for c by dividing both sides of the equation by 4: c = 11.