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
DedPeter [7]
3 years ago
12

Andrea, Justin, and Virginia went to an office supply store. Andrea bought 6 pencils, 7 markers, and 8 erasers. Her total was $1

5.75. Justin spent $16.75 buying 6 pencils, 8 markers, and 5 erasers. Virginia bought 5 pencils, 5 markers, and 7 erasers for $11.75. What is the cost of each item?
Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Answer:

x=0.25\,,\,y=1.75\,,\,z=0.25

Step-by-step explanation:

Let x,y,z denotes number of pencils, markers, erasers respectively.

For Andrea:

6x+7y+8z=15.75\,\,\,(i)

For Justin:

6x+8y+5z=16.75\,\,\,(ii)

For Virginia:

5x+5y+7z=11.75\,\,\,(iii)

On subtracting equations (i) and (ii), we get

(6x+7y+8z)-(6x+8y+5z)=15.75-16.75\\-y+3z=-1\\y-3z=1\\y=1+3z

Put y=1+3z in equation (i)

6x+7(1+3z)+8z=15.75\\6x+29z=8.75\,\,\,(iv)

Put y=1+3z in equation (iii)

5x+5(1+3z)+7z=11.75\\5x+22z=6.75\,\,\,(v)

Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.

5(6x+29z)-6(5x+22z)=5(8.75)-6(6.75)\\13z=3.25\\z=\frac{3.25}{13}=0.25

Put z=0.25 in equation y=1+3z

y=1+3(0.25)=1.75

Put y=1.75\,,\,z=0.25 in equation (i)

6x+7(1.75)+8(0.25)=15.75\\6x+12.25+2=15.75\\6x=1.5\\x=0.25

You might be interested in
Given that’s the measure of the angle is 109, what is the measure of angle k?
Kamila [148]

Answer:

k is also 109 degrees bcoz they are corresponding angles

8 0
3 years ago
If Li reads at a rate of 1 book per 7 days, then how many books would Li have read in 50 days?
Molodets [167]

Answer:

he would have finished 7 books and be reading .14 of another

Step-by-step explanation:

8 0
2 years ago
What is the area and corcumfrance of this?
Angelina_Jolie [31]
184.5

This is because the area of the rectangle is 216 and the area of the triangle is 31.5. Subtract the triangle from the rectangle to get your answer
6 0
3 years ago
The temperature is 78 °F at 2:00 in the afternoon. If the temperature drops 4 °F every hour after that, what is the temperature
Galina-37 [17]

Answer:

The answer to your question is: 54°F

Step-by-step explanation:

Data

Ti = 78°F

Initial hour = 2:00

Temperature drops 4°F every hour

Temperature at 8:00 = ?

Process

                      2:00                  

                       3:00             78-4 =     74°F

                      4:00              74-4 =      70°F

                      5:00              70-4 =      66°F

                      6:00              66-4 =      62°F

                       7:00             62-4 =     58°F

                      8:00              58-4 =      54°F

3 0
3 years ago
Jake walks to town every fifth day. Sam rides his bike to town every fourth day. What is the first day they are likely to meet i
Lana71 [14]

Answer:

probably the 20th day because 20 is the lowest common multiple 4 and 5 share.

8 0
3 years ago
Other questions:
  • 4.(-x 4 + 13x 5 + 6x 3 ) + (6x 3 + 5x 5 + 7x4)
    14·1 answer
  • If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar because of the _____.
    5·2 answers
  • Find the area of the circle with a diameter of 6cm.
    6·1 answer
  • Johnson's Nursery has net income of $42,500, depreciation expense of $1,800, interest expense of $900, taxes of $1,600, addition
    5·1 answer
  • Annie opened a savings account and deposited $10
    9·2 answers
  • Help please?????????
    9·1 answer
  • Pls kinda need help <br> lolol
    6·1 answer
  • What is the definition for center
    5·1 answer
  • CAN SOMEONE PLEASE HELP ME??!!
    12·1 answer
  • If the simple interest on ​$5000 for years is ​$2400​, then what is the interest​ rate?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!