Question

Tony's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs $4.60 Tony per pound, and type B coffee costs $5.70 per pound. This month, Tony made 140 pounds of the blend, for a total cost of $706.70 . How many pounds of type A coffee did he use?

Answer 1

@Hero can you help me out please

Answer 2

@Hero do know how to set the problem up? then I solve for the answer

Answer 3

You have to setup two equations, one for the total pounds of coffee, the other for the total cost of coffee per pound.

Let A = Pounds of type A coffee
B = Pounds of type B coffee

Total Pounds of Coffee
A + B = 140

Total Cost of Coffee Per Pound
4.60A + 5.70B = 706.70

Answer 4

Ultimately, you have a system of equations that you'll need to solve:

A + B = 140
4.60A + 5.70B = 706.70

Answer 5

okay i'm lost explain it @Hero

Answer 6

Let's do it this way. I'll re-write the question. See if that helps.

Answer 7

Tony's Coffee Shop makes a blend that is a mixture of two types of coffee: Type A and Type B. Tony Blended both types together and made 140 pounds of coffee.

Type A coffee costs $4.60 Tony per pound, and type B coffee costs $5.70 per pound for a total cost of 706.70.

How many pounds of type A coffee did he use?

Answer 8

@hero I still don get

Answer 9

What about it are you confused about?

Answer 10

i'm asking can you put it in a equation for me then I slove for it @Hero

Answer 11

@kropot72

Answer 12

Here's the equation to solve. It's a system:

A + B = 140
4.60A + 5.70B = 706.70

Answer 13

What you have to do is use substitution to write it as a single equation. Notice that

A = 140 - B

Answer 14

Which means you can substitute the expression for A into the second equation to get:

4.60(140 - B) + 5.70B = 706.70

Answer 15

Now solve for B.

Answer 16

is it 57 @Hero

Answer 17

Remember, The goal is to find how many pounds of type A.

Answer 18

B = 57 is correct. Can you figure out the value of A?