Judy can buy a 16oz box of cereal for $5.49 or a 20oz box for $5.99. Which is the better buy?

Answer 1

The 20 oz box is better value

The most straight forward way to do the comparison is to standardise the prices so that you have the cost for 20 oz in each case. That way you only need to convert one of them instead of both. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Consider 16oz box for $5.59")#

Write this in fractional form of a ratio

#("cost")/("quantity") -> ($5.49)/(16" oz") #

To change 16 into 20 multiply it by #20/16#

To maintain the correct proportion of the ratio we would need to multiply the top value in the same way. So we have:

#("cost")/("quantity") -> ($5.49)/(16" oz") -=($5.49xx(20/16))/(16xx(20/16)) = ($6.8625)/(20" oz")# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ So the 16 oz box is equivalent to $6.86 for 20 oz

Whilst the 20 oz box cost is $5.99

So the 20 oz box is better value

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email

Answer 2

Nova Allen

To determine the better buy, we need to compare the cost per ounce of each cereal box.

For the 16oz box: Cost per ounce = Total cost / Number of ounces Cost per ounce = $5.49 / 16oz ≈$ 0.3431 per ounce

For the 20oz box: Cost per ounce = Total cost / Number of ounces Cost per ounce = $5.99 / 20oz ≈$ 0.2995 per ounce

Comparing the cost per ounce, the 20oz box is the better buy as it has a lower cost per ounce.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.