Question

Imagine telling a friend about your favorite coffee and donut shop. Your friend asks how much it charges for a cup of coffee and a doughnut. While you can't remember how much each one costs individually, you do remember that's the last time you ordered one coffee and two donuts, your bill was $7.00. And today, when you bought two coffees and three Donuts, your bill came to $12.00.

Write a system of linear equations to represent the above situation.

Answer 1

c + 2d = $7.00

2c + 3d = $12.00

Explanation:

Hello!

Let:

• c = # of coffees
• d = # of donuts

1 coffee and 2 donuts cost $7.00

This can be repesented by 1c + 2d = $7.00, or c + 2d = $7.00

2 coffees and 3 donuts cost $12.00

This can be represented by 2c + 3d = $12.00

So, the system is :

c + 2d = $7.00

2c + 3d = $12.00