1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PIT_PIT [208]
3 years ago
7

Boris's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Boris

Mathematics
1 answer:
KatRina [158]3 years ago
4 0
X=pounds of Type A coffee
y=pounds of Type B coffee

QUANTITY EQUATION:
x+y=178

COST EQUATION:
$5.45x + $4.20y=$870.10

STEP 1:
Solve for one variable in equation one.  Then substitute it in equation two.

x+y=178
subtract y from both sides of the equation
x=178-y


STEP 2:
substitute x=178-y in equation two

5.45x + 4.20y=870.10
5.45(178-y) + 4.20y=870.10
multiply 5.45 by everything in parentheses

(5.45*178)+(5.45*-y)+4.20y=870.10
970.10-5.45y+4.20y=870.10
combine like terms

970.10-1.25y=870.10
subtract 970.10 from both sides

-1.25y=-100
divide both sides by -1.25

y=80 pounds of type B coffee


STEP 3:
Substitute y=80 in either equation to solve for x

x+y=178
x+80=178
subtract 80 from both sides
x=98 pounds of type A coffee


ANSWER:
x=98 pounds of type A coffee
y= 80 pounds of type B coffee


CHECK:
Substitute answers for x & y into either equation to be sure it checks.

5.45x+4.20y=870.10
5.45(98)+4.20(80)=870.10
534.10+336=870.10
870.10=870.10

Hope this helps!  :)

You might be interested in
The number calls 911 rose from 210000 in 2001 to 400000 in 2002
r-ruslan [8.4K]

i'm guessing this is asking what percentage it went up by? if so it went up by 190.47 percent.  ***400,000 / 210,000 = 1.9047619***

7 0
3 years ago
Mr.Hollins determines that he gives away $800 each month. If he gives away 16% of his budget, how much is his overall budget?
oee [108]

\frac{800}{x}  = \frac{16\%}{100\%}  \\  \frac{80000}{16}  =  \frac{16x}{16}  \\ 5000 = x
5 0
3 years ago
Paul polled his classmates about their favorite color. He drew this circle graph to show his data.
ss7ja [257]

Answer:

he most popular color is .

blue

The least popular color is .

purple

There are 30 students in Paul’s class.

That means that  students voted for green. 3

Step-by-step explanation:

its right ,i did it.

4 0
3 years ago
Find the measure of angle ABC​
victus00 [196]
First we need to find x so 6x+8x+6x= 180
20x=180 and x= 9

So A= 6*9= 54
B= 8*9= 72
C= 6*9= 54
5 0
2 years ago
At a butcher store, 5 1/2 pounds of hamburger meat are divided into 11 equal packages. How many pounds of meat will each package
Alex787 [66]

Answer:

each pack is 1/2 pound

Step-by-step explanation:

5.5 is 1/2 of 11

5.5/11=1/2

6 0
3 years ago
Read 2 more answers
Other questions:
  • I'm completely lost on this question please help
    11·2 answers
  • 20 POINTS!!!!WILL MARK AS BRAINLIEST HELP ME!!!!!!!!PLEASE!!!!!!!!!!
    5·1 answer
  • Find the points of intersection (if any) of the graphs of the equations. Use a graphing utility to check your results. y = - x +
    12·1 answer
  • Help???????????????????
    13·1 answer
  • Jan is the regional manager of Graphic DesignWorks. She uses a company
    6·2 answers
  • What situation is modeled by the equation 24=15x+8?<br><br> options in picture*
    9·1 answer
  • What is 3/4. ÷ 1/6 ​
    7·2 answers
  • What if both Sammy and Tanya each drove the same number of miles for another 14 days? How many miles would they have driven ALL
    6·1 answer
  • Noah spins 2 spinners at the same time. Each spinner is numbered 1 through 4. If each spinner can land only in one of the number
    11·2 answers
  • Its 15/16 I´m pretty sure
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!