Question

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

Answer 1

The equations which describe this situation are:

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

E. 5 f = 8.75

Explanation:

Here, the number of loaves of bread purchased = 3

The price of a loaf of French bread = f

The price of whole grain bread = 2 x ( Price of the french bread)

= 2 x (f) = 2 f

The price of cinnamon raisin bread

= ( Price of the whole grain bread) + $2.50

= 2 f + $2.50

Also, the total price paid for the 3 loaves of bread = $11.25

⇒ The cost of ( French + whole grain + Cinnamon raisin) bread = $11.25

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

or, 5 f = 11. 25 - 2.50 = 8.75

or, 5 f = 8 . 75

Hence the equations which describe this situation are:

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

E. 5 f = 8.75