Respuesta :
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 = [tex]\frac{y}{x}[/tex] ....(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 = [tex]\frac{y + 1.5}{x + 10}[/tex] ...(2
Now equation 1 tells that 1 ounce in smaller costs [tex]\frac{y}{x}[/tex], and equation 2 tells in ounce in larger bag costs [tex]\frac{y + 1.5}{x + 10}[/tex] .
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 [tex]\frac{y + 1.5}{x + 10}[/tex] would be less than [tex]\frac{y}{x}[/tex] . It means our larger bag has less price per ounce.
So, its better to buy larger bag
