Cost of each cup of coffee is $1.59.
Cost of each bottle of water is $1.39.
Let C be the cost of each cup of coffee and B be the cost of each bottle of water.
We have been given that Jackie purchased 3 bottles of water and 2 cups of coffee for the family. So the cost of 3 bottles of water will be 3B and cost of 2 cups of coffee will be 2C.
As Jackie spent $7.35 on these items, so we can represent this information in an equation as:
We are also told that Ryan bought 4 bottles of water and 1 cup of coffee for his family. So the cost of 4 bottles of water will be 4B and cost of 1 cup of coffee will be C.
As Ryan spent $7.15 on these items, so we can represent this information in an equation as:
To find the cost of one cup of coffee we will solve our system of equations using substitution method.
From equation (2) we will get,
Substituting this value in equation (1) we will get,
Upon using distributive property we will get,
Let us combine like terms.
Upon multiplying both sides of our equation by -5 we will get,
Therefore, the cost of one bottle of water is $1.39.
Upon substituting B=1.39 in equation (2) we will get,
Upon subtracting 5.56 from both sides of our equation we will get,
Therefore, the cost of each coffee is $1.59.
Water = $1.39 Each
Coffee = $1.59 Each
Lets assume that:
W = Water
C = Coffee
Now we have to take the amount of what both Jackie and Ryan Bought.
Now that we have both of their orders, we then can use any of the two equations and find the value of both the water and coffee one at a time.
Let's take Ryans equation and solve for C.
(NOTE: Let's remove the symbols first to make it clearer)
We then transpose the 4W to the other side to solve for C.
Now that have a value temporary value for C, we can then substitute it in Jackie's equation.
We then use the distribution rule.
Now we combine LIKE terms.
Then we divide both sides by -5.
We end up with:
Now that we have the value of the water, we can then substitute it to find the value of the Coffee.
0 is its x and y coordinate
1/3 + 1/5 = 8/15.