Question

On Monday, Louise picked up five scones and six large coffees for the office staff. He paid $23.21. On Tuesday, Rachel picked up four scones and three large coffees for the office staff. She paid $15 with $0.40. What is the cost of one scone? What is the cost of one large coffee?

Answer 1

The cost of one scone is $2.35 and the cost of one large coffee is $2.69.

Step-by-step explanation:

To find the cost of one scone and one large coffee, we can set up a system of equations using the given information:

Let's assume the cost of one scone is 's' dollars and the cost of one large coffee is 'c' dollars.

From the information given on Monday, we have: 5s + 6c = 23.21

From the information given on Tuesday, we have: 4s + 3c = 15.40

Now we can solve this system of equations using any method. One method is substitution:

From the equation 4s + 3c = 15.40, we can isolate s and get s = (15.40 - 3c) / 4

Substituting this value of s into the other equation, we get: 5((15.40 - 3c) / 4) + 6c = 23.21

Simplifying and solving for c, we find c = 2.69

Substituting this value of c back into the equation 4s + 3c = 15.40, we can solve for s and find s = 2.35

Therefore, the cost of one scone is $2.35 and the cost of one large coffee is $2.69.