Ten granola bars and twelve 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?

$2.15

Step-by-step explanation:

Given :

The cost of Ten granola bars and twelve bottles of water is $23.

The cost of Five granola bars and four bottles of water is $10.

To Find : The cost of one granola bar and one bottle of water

Solution :

Let x be the cost of one granola bar.

Let y be the cost of one water bottle.

So, cost of 10 granola bars = $10 x

Cost of 5 granola bars = $5 x

Cost of twelve bottles of water = $12 y

Cost of four bottles of water = $4 y

Now we know that the cost of Ten granola bars and twelve bottles of water is $23.

So, the equation becomes:

⇒  ---(a)

We also know that cost of Five granola bars and four bottles of water is $10.

So, the equation becomes:

⇒  ---(b)

Now we need to solve (a) and (b) to find value of x and y

So, we will use substitution method

We will substitute value of x from (a) in (b)

⇒

⇒

⇒

⇒

⇒

⇒

⇒

⇒

So, cost of one water bottle 'y' is $0.75

Now we are supposed to find the value of x . So, put value of y in equation (a)

⇒

⇒

⇒

⇒

⇒

⇒

So, cost of one granola bar 'x' is $1.4

So, combine cost of 1 granola bar and one water bottle is $1.4+ $0.75 = $2.15

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.