Question

Jake buys a fruit smoothie and a protein bar for​ $5.90. Kobe buys 2 fruit smoothies and 4 protein bars. He pays​ $16.80. What is the cost of each fruit smoothie and each protein​ bar?
x plus y
equals
5.90
2 x plus 4 y
equals
16.80
Question content area bottom
Part 1
Each fruit smoothie costs ​$
  
enter your response here​, and each protein bar costs ​$
  
enter your response here.
​(Type integers or​ decimals.)

Answer 1

Let x = smoothie price, y = protein bar price.

From x + y = 5.90 and 2x + 4y = 16.80, multiply the first equation by 2: 2x + 2y = 11.80.
Subtracting gives 2y = 5.00, so y = 2.50. Then x = 5.90 − 2.50 = 3.40.

Each fruit smoothie costs $3.40 and each protein bar costs $2.50.