Melissa bought 3 loaves of freshly baked bread at a specialty bread shop. She paid twice as much for the whole grain bread as for the French bread, and $2.50 more for the cinnamon raisin bread than for the whole grain bread. She spent a total of $11.25 for the 3 loaves. If f represents the price of a loaf of French bread, which equations describe this situation? Select two answers

A.

f + f + (f + 2.50) = 11.25

B.

f + 2f + (f + 2.50) = 11.25

C.

f + 2f + (2f + 2.50) = 11.25

D.

2f + 2.50 = 11.25

E.

5f = 8.75

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luisejr77 luisejr77 · Answer 1 · 2019-12-06T12:42:20+01:00

Answer:

Option C.

Option E.

Step-by-step explanation:

Let be "f" the price of a loaf of French bread, "w" the price of the grain bread and "c" the price of the cinnamon raisin bread.

We know that Melissa paid twice as much for the whole grain bread as for the French bread. This can be represented with this equation:

[tex]w=2f[/tex] [Equation 1]

Since she paid $2.50 more for the cinnamon raisin bread than for the whole grain bread, we can write this equation:

[tex]c=w+2.50[/tex] [Equation 2]

The total amount of money she spent was $11.25, then:

[tex]f+w+c=11.25[/tex] [Equation 3]

Now you must substitute the Equation 1 into the Equation 2:

[tex]c=2f+2.50[/tex] [Equation 4]

Substituting the [Equation 1] and the [Equation 4] into the [Equation 3], you get:

[tex]f+2f+(2f+2.50)=11.25[/tex]

If you simplify the equation, you get:

[tex]5f=8.75[/tex]