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Dwayne buys 1 loaf of bread and 6 eggs for $4.45. Sheila buys 1 loaf of bread and 1 dozen eggs for $5.65. Let x be the cost, in dollars, of a loaf of bread. Let y be the cost, in dollars, of an egg.

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Answer:

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Step-by-step explanation:

Given the following :

Let x = cost of a loaf of bread ; y = cost of an egg

Dwayne :

1 loaf of bread and 6 eggs :

X + 6y = 4.45 - - - (1)

Sheila :

X + 12y = 5.65 - - - (2)

From (1);

X = 4.45 - 6y

In (2):

(4.45 - 6y) + 12y = 5.65

4.45 + 6y = 5.65

6y = 5.65 - 4.45

6y = 1.2

y = 0.2

From X = 4.45 - 6y:

X = 4.45 - 6(0.2)

X = 4.45 - 1.2

X = 3.25

Cost of a loaf of bread = $3.25

Coat of an egg = $0.2