two customers purchased the same kind of bread and eggs at a store. the first customer paid 12.45 dollars…

two customers purchased the same kind of bread and eggs at a store. the first customer paid 12.45 dollars for 1 loaf of bread and 2 dozen eggs. the second customer paid 19.42 dollars for 4 loaves of bread and 1 dozen eggs. what is the cost, in dollars, of 1 dozen eggs? a 3.77 b 3.88 c 4.15 d 4.34

two customers purchased the same kind of bread and eggs at a store. the first customer paid 12.45 dollars for 1 loaf of bread and 2 dozen eggs. the second customer paid 19.42 dollars for 4 loaves of bread and 1 dozen eggs. what is the cost, in dollars, of 1 dozen eggs? a 3.77 b 3.88 c 4.15 d 4.34

Answer

Explanation:

Step1: Set up equations

Let $x$ be the cost of 1 loaf of bread and $y$ be the cost of 1 dozen eggs. We have the equations: $x + 2y=12.45$ and $4x + y=19.42$.

Step2: Express $x$ from the first - equation

From $x + 2y=12.45$, we get $x=12.45 - 2y$.

Step3: Substitute $x$ into the second equation

Substitute $x = 12.45-2y$ into $4x + y=19.42$. So, $4(12.45 - 2y)+y=19.42$. Expand the left - hand side: $49.8-8y + y=19.42$. Combine like terms: $49.8-7y=19.42$.

Step4: Solve for $y$

Subtract 49.8 from both sides: $-7y=19.42 - 49.8=-30.38$. Divide both sides by - 7: $y=\frac{-30.38}{-7}=4.34$.

Answer:

D. 4.34