Final answer:
The equation 22(x-0.35)=18.70 is used to calculate the original price of one sports drink before a discount of $0.35 was applied, given that Jenny paid a total of $18.70 for 22 drinks.
Step-by-step explanation:
The equation 22(x-0.35)=18.70 helps to answer the question: What was the original price of one sports drink before the discount?
Jenny bought 22 sports drinks, and there was a sale offering $0.35 off each drink. She paid a total of $18.70 for all drinks. To find the original price per drink, we represent the original price with 'x' and account for the discount by subtracting $0.35. Then we multiply this adjusted price by the number of drinks (22) to equal the total paid ($18.70).
To solve for 'x', we divide both sides of the equation by 22, which isolates the term (x-0.35) on one side of the equation and gives us the adjusted price per drink. Adding $0.35 to this result will give us the original price per drink.