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?

Answer 1

Answer:

Fruit smoothie: $3.4

Protein bar: $2.5

Step-by-step explanation:

Let x represent cost of fruit smoothie and y represent cost of protein bar.

We have been given that Jake buys a fruit smoothie and a protein bar for​ $5.90. We can represent this information in an equation as:

$x+y=5.90...(1)$

$x=5.90-y...(1)$

We are also told that Kobe buys 2 fruit smoothies and 4 protein bars. He pays​ $16.80. We can represent this information in an equation as:

$2x+4y=16.80...(2)$

Upon substituting equation (1) in equation (2), we will get:

$2(5.90-y)+4y=16.80$

$11.80-2y+4y=16.80$

$2y=16.80-11.80$

$2y=5$

$y=\frac{5}{2}=2.5$

Therefore, each protein bar costs $2.5.

Upon substituting $y=2.5$ in equation (1), we will get:

$x=5.90-2.5=3.4$

Therefore, each fruit smoothie costs $3.4.