Question

Linda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Linda $4.10 per pound, and type B coffee costs $5.15 per pound. This month, Linda made 174 pounds of the blend, for a total cost of $795.30. How many pounds of type A coffee did she use?

Answer 1

I think its called a half and half.

Answer 2

So I believe the right equation is 4.10(a) + 5.15(b) = 795. a + b = 174

Answer 3

@ryryfofo

Answer 4

how do you find a and b?

Answer 5

So you are gonna want to plug in numbers that add up to 174 into the equation and then find the one that equals 795.30
For example we'll say a = 100 and b = 74
4.10(100) + 5.15(74)= 795
410 + 381.1 = 791.1
410 + 381.1 ≠ 795 however we are close now

Answer 6

So now try maybe 94 = a, 80 = b

Answer 7

@ryryfofo

Answer 8

its not right :/

Answer 9

Did you get around 766

Answer 10

Im sorry I used the wrong equation
x = pounds type A
y = pounds type B

Total pounds
1x + 1y = 174

Total value
5.15x + 4.10y = 795.30

Answer 11

4.10x + 5.15y = 795.30 sorry

Answer 12

Now you want to multiply the first equation by 5.15
5.15x + 5.15y = 896.1

Answer 13

Now subtract the first equation from the second one
4.10x + 5.15y = 795.30
-5.15x - 5.15y = -896.1
= -1.05x = -100.8

Answer 14

Now divide both sides by -1.05 so you get x by itself

Answer 15

Say something if your still here. Just making sure

Answer 16

@ryryfofo

Answer 17

I gave up lol

Answer 18

x = 96

Answer 19

oh....

Answer 20

Sorry... Do you just want the answer then?

Answer 21

no it's okay

Answer 22

a = 96, b = 78
the answer is 96 pounds of coffee a

Answer 23

Medal @ryryfofo