Final answer:
1 dz of eggs costs $4.
Step-by-step explanation:
To find the cost of 1 dozen (dz) of eggs, we can set up a system of equations using the given information.
Let's assign variables to represent the cost per dz of eggs and onions:
Let x = cost of 1 dz of eggs
Let y = cost of 1 dz of onions
From the given information, we can set up the following equations:
1 dz eggs + 9 dz onions = $76
10 dz eggs + 3 dz onions = $64
We can rewrite the first equation as:
x + 9y = $76
And the second equation as:
10x + 3y = $64
We can now solve this system of equations. By multiplying the first equation by 10 and the second equation by 1, we can eliminate the variable y:
10x + 90y = $760
10x + 3y = $64
-----------------------------
87y = $696
Dividing both sides of the equation by 87, we can find the cost of 1 dz of onions:
y = $8
Substituting the value of y back into the first equation, we can find the cost of 1 dz of eggs:
x + 9($8) = $76
x + $72 = $76
x = $4
Therefore, 1 dz of eggs costs $4.