Kathryn buys 8 cups of coffee and 2 bagels one day and pays $31. harry buys 3 cups of coffee and 3 bagels the same day and pays $17.25. how much is each cup of coffee and each bagel

Each coffee= $3.25

Each bagel= $2.5

Step-by-step explanation:

Let x be price of each cup of coffee and y be the price of each bagel.

We have been given that Kathryn buys 8 cups of coffee and 2 bagels one day and pays $31. We can represent this information in an equation as:

We are also told that Harry buys 3 cups of coffee and 3 bagels the same day and pays $17.25. We can represent this information in an equation as:

Using our given information we have a formed a system of equations and we will solve our system of equations using substitution method.

From equation 1 we will get,  

Now let us substitute x's value in equation 2.

Upon distributing 3 we will get,

Now we will make a common denominator on left side of our equation.

Upon multiplying both sides of our equation by 8 we will get,

Therefore, price of each bagel is $2.5.

Now let us substitute y=2.5 in equation 1 to find the price of each coffee.

Therefore, the price of each coffee is $3.25.

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .