Question

Mr. Joe ordered a total of 12 drinks from Peets. He ordered twice as many coffees (x) as chai tea drinks (y). How many of each drink did he order?The answer is 8 coffees and 4 chais. What is the system of equations?

Answer 1

To solve for the number of drinks Mr. Joe ordered, a system of equations is established: x + y = 12 (the total number of drinks) and x = 2y (twice as many coffees as chai teas), which yields the solution of 8 coffees and 4 chai teas.

Step-by-step explanation:

The question presents a situation where Mr. Joe orders a mix of coffees (x) and chai tea drinks (y) with the condition that he orders twice as many coffees as chai teas. From the information provided, we establish a system of equations to represent this scenario.

The first equation represents the total number of drinks ordered:

• x + y = 12

The second equation is derived from the fact that the number of coffees is twice the number of chai teas:

• x = 2y

Substituting the second equation into the first equation gives us:

• 2y + y = 12
• 3y = 12
• y = 4

Then we can substitute the value of y back into the second equation to find the number of coffees:

• x = 2 * 4
• x = 8

Thus, Mr. Joe ordered 8 coffees and 4 chai teas.