divide by 30 , it will feel cheaper
A is still cheapest
Eggs are graded by the weight of each egg:
AA: 70g
A: 65g
B: 60g
C: 55g
Ck: 55g
D: 50g
Below are the prices for a tray of 30eggs. Which is the most worth it?
AA, $18
A, $14.05
B, $13.45
C, $12.69
D, $12.09
Step 1: Calculate the total weight of each grade of eggs per tray
For grade AA eggs, total weight = 70g * 30 = 2100g.
For grade A eggs, total weight = 65g * 30 = 1950g.
For grade B eggs, total weight = 60g * 30 = 1800g.
For grade C eggs, total weight = 55g * 30 = 1650g.
For grade D eggs, total weight = 50g * 30 = 1500g.
Step 2: Calculate the price per gram for each grade
For grade AA eggs, price per gram = $\frac{18}{2100} \approx 0.0086$ per gram.
For grade A eggs, price per gram = $\frac{14.05}{1950} \approx 0.0072$ per gram.
For grade B eggs, price per gram = $\frac{13.45}{1800} \approx 0.0075$ per gram.
For grade C eggs, price per gram = $\frac{12.69}{1650} \approx 0.0077$ per gram.
For grade D eggs, price per gram = $\frac{12.09}{1500} \approx 0.0081$ per gram.
Step 3: Compare the price per gram for each grade
The lowest price per gram indicates the best value.
- Grade AA: $0.0086/g
- Grade A: $0.0072/g
- Grade B: $0.0075/g
- Grade C: $0.0077/g
- Grade D: $0.0081/g
Grade A has the lowest price per gram.
The final answer is: $\boxed{A}$