Question

At a local coffee shop, one customer purchased two muffins and three cups of coffee for
$14.47. Another customer ordered 3 muffins and 5 cups of coffee for $23.30. Write and
solve a system of equations to find the price of a single muffin and a single cup of coffee.

Answer 1

2m + 3c = 14.47

3m + 5c = 23.30

solve by substitution or elimination

Answer 2

Step 1. Subtract equations

(3M + 5C=23.3) - (2M + 3C= 14.47).

You get 1M + 2C = 8.83

Step 2. Do some arranging of the variables.

You get 1M= 8.83 - 2C. Presto! You can plug it in now to one of your original equations.

Step 3. Plug it in. I'll choose the first equation.

2(8.83-2C) + 3C= 14.47

Step 4. Multiply through.

17.66-4C+3C=14.47

Step 5. Clean it up.

-C=-3.19 which means C= 3.19

Alright I'm going to stop there. You should be able to find M with what I've given you.