At Breakfast Break, 2 eggs and 1 sausage patty cost $2.23 and 3 eggs with 2 sausage patties cost $3.76. Assuming that these amounts only pay for the eggs and sausage, how much does one sausage patty cost?

Cost of one sausage patty is $0.83.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Cost of 2 eggs and 1 sausage patty = $2.23,

Cost of 3 eggs and 2 sausage patties = $3.76.

Write above expression in equation form,

2 eggs + 1 patty = 2.23             (1)

3 eggs + 2 patties = 3.76         (2)

To find the cost of patty, multiply equation (1) with 3 and equation (2) with 2,

6 eggs + 3 patties = 6.69         (3)

6 eggs + 4 patties = 7.52          (4)

By solving equation (3) and (4)

1 patty = 0.83

The cost of 1 sausage patty is $0.83.

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