Question

On Monday, Luis picked up seven scones and four large coffees for the office staff. he paid $25.76. On Tuesday Rachel picked up two scones and five large coffees for the office staff. She paid $14.92. What is the cost of one scone? What is the cost of one large coffee?

Answer 1

We can solve this problem with a system of equations

Let x = the price of one scone. Let y = the price of one large coffee.

For Luis, the equation is 5x + 4y = 25.76
For Rachel, the equation is 2x + 5y = 14.92

Here is what I did for this problem:

Answer 2

let the scone be x and the large coffees be y.

7x+4y=$25.76-----equ(I)

2x+5y=$14.92-----equ(2)

make x the subject of the formulae in equation(ii).

x=$14.92/2-5y

x=7.46-5y