Jackie purchased 3 bottles of water and 2 cups of coffee for a family for $7.35. brian bought 4 bottles of water and 1 cup of coffee for his family for $7.15. how much does each bottle of water cost? how much does each cup of coffee cost? i need this done

Cost of each cup of coffee is $1.59.

Cost of each bottle of water is $1.39.

Step-by-step explanation:

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.