Question

jen wants to buy two bags of food for her cat, pumpkin. her local grocery store has an in - store deal to buy one bag at full price and get the other for 40% off. alternatively, she could buy two bags at full price on the stores website and use a promo code to get $7.50 off her total. after considering her options, jen realizes the cost would be the same either way. what is the full price of a bag of cat food? $

Explanation:

Step1: Let the full - price of a bag be $x$.

Let the full - price of one bag of cat food be $x$ dollars.

Step2: Calculate the cost of in - store deal.

The cost of buying two bags in - store is $x+(1 - 0.4)x=x + 0.6x=1.6x$.

Step3: Calculate the cost of online deal.

The cost of buying two bags online is $2x-7.5$.

Step4: Set up the equation.

Since the costs are the same, we set up the equation $1.6x=2x - 7.5$.

Step5: Solve the equation for $x$.

First, move the $x$ terms to one side: $2x-1.6x = 7.5$. Then, $0.4x=7.5$. Divide both sides by $0.4$: $x=\frac{7.5}{0.4}=18.75$.

Answer:

$18.75$