Question

John is comparing the prices of two bags of the

Answer 1

Answer:

So, its better to buy larger bag

Step By Step Explanation:

Let

Smaller bag hold = x ounces

Price of x ounce in smaller bag = $ y

Price of 1 ounce in smaller bag = $\frac{y}{x}$ ....(1

Larger bag will hold = x + 10 ounces

Price of x+10 ounces in larger bag = y + 1.5

Price of 1 ounce in larger bag = $\frac{y + 1.5}{x + 10}$ ...(2

Now equation 1 tells that 1 ounce in smaller costs $\frac{y}{x}$, and equation 2 tells in ounce in larger bag costs $\frac{y + 1.5}{x + 10}$ .

Now as we can see, we can get equation 2 from equation 1 by increasing numerator by 1.5 and denominator by 10. In this case denominator has increased more than numerator so the value of overall fraction $\frac{y + 1.5}{x + 10}$ would be less than $\frac{y}{x}$ . It means our larger bag has less price per ounce.

So, its better to buy larger bag