Question

Raul bought a soft drink and a sandwich for $9.90. What is the price of each if the sandwich cost 3.5 times as much as the soft drink? A) Sandwich costs $5.94 and the soda costs $3.96 B) Sandwich costs $7.70 and the soda costs $2.20 C) Sandwich costs $5.40 and the soda costs $4.50 Eliminate D) Sandwich costs $2.83 and the soda costs $9.90

Answer 1

Hello!

Before creating equations and solving for the values of the soft drink and sandwich, we need to assign variables. We can assign x to the soft drink and sandwich.

Since the sandwich costs 3.5 times as much as the soda, it is written as 3.5x and the soda is just x. Also, the total cost is 9.90 dollars.

3.5x + x = 9.90 (simplify)

4.5x + 9.90 (divide both sides by 4.5)

x = 2.2 | That is the cost of the soda.

To find the cost of the sandwich, we subtract 2.20 from the total cost.

9.90 - 2.20 = 7.70 | That's the cost of the sandwich.

Therefore, the final answer is B, the sandwich costs $7.70 and the soda costs $2.20.