Question

HELP
Rita's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Rita
$5.70
per pound, and type B coffee costs
$4.15
per pound. This month, Rita made
148
pounds of the blend, for a total cost of
$711.85
. How many pounds of type B coffee did she use?

Answer 1

@SolomonZelman

Answer 2

@phi

Answer 3

@sweetburger

Answer 4

you may need to make a system of equations for this.

Answer 5

one of our functions may look like this:

\[Cost = No.Pounds~Coffee*(cost~per~pound)\]

Answer 6

follow?

Answer 7

@photon336 yes one second

Answer 8

the question changed but its the same idea

Answer 9

Isabel's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Isabel
$4.65
per pound, and type B coffee costs
$5.70
per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of
$433.35
. How many pounds of type A coffee were used?

Answer 10

alright well we know that the total cost is 433.35

Answer 11

yes

Answer 12

here's what I'm thinking: we find a way to represent the total pounds of coffee for A.

if each pound costs 4.65 then we can represent it like this.

\[Coffee~A = 4.65(A) = f(A) ~~ A = no.Pounds \]

Answer 13

this will give us the total cost for coffee A.

Answer 14

I fill 4.65 and 5.70 into the equation

Answer 15

and 433.35

Answer 16

5.7a + 4.65(2a) = 433.35

Answer 17

ohh right

Answer 18

@FLVSkidd I'm reading the wrong question it should be

now: it says, twice as many pounds of coffee B than type A

\[4.65(A)+5.70(B) = 433.35\]

Answer 19

Then we're told that the number of pounds of coffee b are twice the amount as a.

B = 2A

Answer 20

\[E_{1} | $4.65(A)+$5.70(B) = 433.35\]

\[E_{2}| B = 2A\]

Answer 21

now, I agree with you.

the second equation tells us that B = 2A

where we see B substitute 2A

Answer 22

\[$4.65(A)+$5.70(2A) = $433.35 \]

Now you have an equation of one variable which you can easily solve. for A. this will give you the number of pounds of A.

then you can find the number of pounds of B by just

taking what you got by A and substituting it into

\[E_{2}|~~~ B = 2A\]

Answer 23

27 lbs

Answer 24

for a

Answer 25

what is B then?

Answer 26

if your answer is right

when you plug in both A and B into E1 written above you should get 433.35

Answer 27

Where do I plug it in?

Answer 28

\[4.65(A)+5.70(B) = $433.35\]

Answer 29

is it 60?

Answer 30

do this first

you got A = 27 right so you can easily find B.

B = 2A

Answer 31

54lbs

Answer 32

yep now

Answer 33

plug both your answers into

\[4.65(A)+5.70(B) = 433.35 \]