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
How do you multiply 9.4 by 7.85 with work shown
11Alexandr11 [23.1K]

Answer:

73.79

Step-by-step explanation:

i forgot how to do it step by step

soooooo sorry

8 0
3 years ago
The value of an irrigational number expression is estimated to be between 18 and 19. Which could be the expression
pogonyaev
The answer is A because 2 multiplied by 9 is 18
4 0
2 years ago
The school team has 80 swimmers. The ratio of seventh-grade swimmers to all swimmers is 5 : 16. Write a proportion that gives th
ElenaW [278]
<h2>(25) 7th Grade Swimmers</h2><h2>25:80</h2>
8 0
2 years ago
A - 7 x 2 for a = 15
marysya [2.9K]

Answer:

a- 7 x 2 is a = 14

.........

4 0
3 years ago
What is the ratio of 225 of 15
Luden [163]

Answer:

15:1

Step-by-step explanation:

225:15

÷15 both sides

15:1

3 0
3 years ago
Other questions:
  • the average number of phone inquiries per day at the poison control center is 4 find the probability it will receive 5 calls on
    13·2 answers
  • How do you factor out an expression
    10·1 answer
  • Find the value of negative four to the third power. a. 64 b. 16. c. -64. d. -16.​
    7·2 answers
  • If h(x) = x-7 and g(x) = x2, which expression is equivalent to (gº h)(5)?
    5·1 answer
  • A regular polygon has sides that are perpendicular. What is the measurement of each angle?
    7·1 answer
  • What is y + 1=x in slope intercept form?​
    6·1 answer
  • I will give u BRAINLIEST for the correct answr
    12·2 answers
  • Does anyone understand this?
    10·2 answers
  • If Blake had 344 blocks, could he build a cube with all the blocks?
    6·2 answers
  • Select all of the values of x that are solutions to 17-7x&gt; 3(10x-4) + 61.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!