Question

Type A coffee costs Latoya $4.30 per pound, and type B coffee costs $5.50 per pound. This month, Latoya made 150 pounds of the blend, for a total cost of $708.60 . How many pounds of type A coffee did she use?

Answer 1

We can write a system of equations..

4.30a + 5.50b = 708.6
a + b = 150

Where a = Type A coffee and b = Type B coffee

Answer 2

We can rearrange the 2nd equation and solve it for 'a', and solve for 'b'.

a + b = 150

Subtract 'b' to both sides:

a = -b + 150

Now we can plug in -b + 150 for 'a' in the 1st equation:

4.30a + 5.50b = 708.6

4.30(-b + 150) + 5.50b = 708.6

Distribute 4.30 into the parenthesis:

-4.30b + 645 + 5.50b = 708.6

Can you solve the rest of that? @mbspires

Answer 3

53?

Answer 4

No..actually we would add:

-4.30b + 5.50b

Can you add those?

Answer 5

1.2b

Answer 6

Yes!

That gives us:

1.2b + 645 = 708.6

Now we subtract 645 to both sides, what's 708.6 - 645?

Answer 7

Oh..you already solved all of it and got 53..

Answer 8

Nvm, you're correct.

Answer 9

Therefore b = 53

So now we plug that into any of the two equations.

a + b = 150

Plug in 53 for 'b':

a + 53 = 150

Now solve that for 'a'.

Answer 10

97! thanks

Answer 11

Yep, that's your answer!