Answer:the price of per dozen eggs is $14.5 and the price of per bread of large size is $10.
Explanation:
16 dozen of eggs + 10 breads = $332
This can be written as: 16x + 10y = 332 --(1)
Similarly, we have:
10 dozen of eggs + 8 breads = $225
This can be written as: 10x + 8y = 225 --(2)
To find the prices of per dozen eggs (x) and per bread (y), we need to solve this system of equations.
We can use the method of elimination to solve this system. Multiply equation (1) by 5 and equation (2) by 8 to make the coefficients of "x" equal:
(5 * 16x) + (5 * 10y) = 5 * 332
(8 * 10x) + (8 * 8y) = 8 * 225
80x + 50y = 1660 --(3)
80x + 64y = 1800 --(4)
Now, subtract equation (3) from equation (4) to eliminate "x":
(80x + 64y) - (80x + 50y) = 1800 - 1660
80x - 80x + 64y - 50y = 140
14y = 140
y = 140 / 14
y = 10
Substitute the value of y = 10 into equation (1) to find the value of x:
16x + 10(10) = 332
16x + 100 = 332
16x = 332 - 100
16x = 232
x = 232 / 16
x = 14.5
Therefore, the price of per dozen eggs is $14.5 and the price of per bread of large size is $10.