Question

use the information in the table below to answer the question. which box of chocolate costs the least per ounce?
boxes of chocolate
box size weight price
small 16 oz. $5.29
medium 40 oz. $12.75
large 75 oz. $22.27
extra large 120 oz. $38.60

Explanation:

Step1: Calculate cost per ounce for Small

To find the cost per ounce, we use the formula $\text{Cost per ounce} = \frac{\text{Price}}{\text{Weight}}$. For the Small box, the price is $\$5.29$ and the weight is $16$ oz. So, we calculate $\frac{5.29}{16}$.
$\frac{5.29}{16} \approx 0.3306$ dollars per ounce.

Step2: Calculate cost per ounce for Medium

For the Medium box, the price is $\$12.75$ and the weight is $40$ oz. Using the same formula, we calculate $\frac{12.75}{40}$.
$\frac{12.75}{40} = 0.31875$ dollars per ounce.

Step3: Calculate cost per ounce for Large

For the Large box, the price is $\$22.27$ and the weight is $75$ oz. We calculate $\frac{22.27}{75}$.
$\frac{22.27}{75} \approx 0.2969$ dollars per ounce.

Step4: Calculate cost per ounce for Extra Large

For the Extra Large box, the price is $\$38.60$ and the weight is $120$ oz. We calculate $\frac{38.60}{120}$.
$\frac{38.60}{120} \approx 0.3217$ dollars per ounce.

Step5: Compare the costs per ounce

Now we compare the values we found:

• Small: $\approx 0.3306$
• Medium: $0.31875$
• Large: $\approx 0.2969$
• Extra Large: $\approx 0.3217$

The smallest value among these is approximately $0.2969$, which corresponds to the Large box.

Answer:

The Large box of chocolate costs the least per ounce.