Question

Ten granola bars and 12 bottles of water cost $23. Five granola bars and four bottles of water cost $10. How much do one granola bar and one bottle of water cost?

Answer 1

One granola bar and one bottle of water will cost 3 dollars.

This is because both a granola bar and bottle of water cost $1.50

Answer 2

Answer:

The cost of one granola bar is $\ 1.4$

The cost of one bottle of water is $\ 0.75$

Step-by-step explanation:

Let

x------> the cost of one granola bar

y-----> the cost of one bottle of water

we know that

$10x+12y=23$ -----> equation A

$5x+4y=10$ -----> equation B  

using a graphing tool

Solve the system of equations

Remember that

The solution of the system of equations is equal to the intersection point both graphs

The intersection point is $(1.4,0.75)$

see the attached figure

therefore

The cost of one granola bar is $\ 1.4$

The cost of one bottle of water is $\ 0.75$