Question

Harriet operates a coffee shop. One of her customers wants to buy two kinds of​ beans: Arabian Mocha and Colombian Decaf. If she wants twice as much Arabian Mocha as Colombian​ Decaf, how much of each can she buy for a total of ​$144.00144.00​? ​(Prices are listed to the​ right.)

Answer 1

it will purchase

96 dollars of Arabian Mocha

and 48 dollars of Colombian Decaf

Step-by-step explanation:

we build the equation system:

`144 = x + y \\ x = 2y`

we replace the second expression on the first and solve for y

144 = (2y) + y

144 = 2y + 1y

144= 3y

144/3 = y

48 = y

now we solve for x

x= 2y

x= 2 times 48 = 96