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
Ksivusya [100]
3 years ago
9

Taylor purchased three types of items (bags of candy, picture frames, and some packs of stickers) from a store. The bags of cand

y are $1, the picture frames are $2, and the packs of stickers are $3. Taylor spent a total of $16 on 9 items, and purchased three times as many bags of candy as she did packs of stickers. How many of each item did she purchase?
If x = the number of bags of candy, y = the number of picture frames, and z = the number of packs of stickers, which equation is not needed to model this situation?
A) x = 3z
B) z = 3x
C) z = x3
D) x + y + z = 9
Mathematics
2 answers:
sasho [114]3 years ago
5 0

Answer:

D

Step-by-step explanation:

To write an expression and equation, define the variables.

Taylor purchased three types of items:

x = number of bags of candy

y = number of picture frames

z = number of stickers.

We know she bought 9 items.

So x+y+z = 9.

ycow [4]3 years ago
4 0

Answer:

1) 3 bags of candy, 5 picture frames and 1 pack of stickers

2) Both option B and C should be eliminated

Step-by-step explanation:

Now according to the data given, total number of items bought is

x + y + z = 9 . . . (A)

Since, total cost is $16, and we know the unit cost of each item

so for x, total cost is number of items multiply by unit price

Total cost for x = (1) x (x)

for y, total cost is number of items multiply by unit price

Total cost for y = (2) x (y)

for z, total cost is number of items multiply by unit price

Total cost for z = (3) x (x)

So equation for total cost is

x + 2y + 3z = 16  . . .(B)

As we know by the data given that bags of candy are three times as compared to stickers

So, x = 3z

putting value of x in equation (A)

3z + y + z = 9

4z + y = 9 or y = 9 - 4z

Putting value of x and y in terms of z in equation B, we get

3z + 2(9 - 4z) + 3z = 16

6z + 18 - 8z = 16

-2z = -2

z = 1

Now x = 3z, so x = 3

and also y = 9 - 4z, so y = 5

so Taylor purchased

3 bags of candy, 5 picture frames and 1 pack of stickers

Now for the equations given below

A is valid because question tells that Taylor bough 3 bags of candy as compared to one pack of stickers and since total number of items purchased is equal to 9, so D is also right.

It might be possible that in options B and C it is typo error, but both donot fulfill the situation given in the question.

You might be interested in
Q. Find the measure of QR
Andreas93 [3]

Answer: 22

Step-by-step explanation:

Since U is the midpoint of P and R, and S is the midpoint of P and Q, SU must be a midsegment.

By the midsegment theorem, SU is 1/2 the value of QR. Therefore QW = SU*2 = 11*2 = 22.

8 0
2 years ago
Solve both equations for y and graph <br>-4x+y=-2<br>-6x+3y=2
JulijaS [17]
I put the solution on the paper

8 0
3 years ago
Read 2 more answers
Find the values of x and y.
gulaghasi [49]

Answer:

y=180-63-63/2=27degree...in triangle mln

x=180-27-63=90....in triangle mon

6 0
2 years ago
Read 2 more answers
2) Juan had $622 in his checking account. He deposited a check for $180, and $100
adoni [48]

Answer:

867

Step-by-step explanation:

622+180+100=902

902-35=867

3 0
2 years ago
What is 3x + 10(1-7X)
Alinara [238K]

Answer:

-67x + 10

Step-by-step explanation:

3x + 10(1 - 7x)

(use distributive property)

3x + 10 - 70x

(simplify)

3x - 70x + 10

-67x + 10

5 0
2 years ago
Read 2 more answers
Other questions:
  • Find the width of a photograph whose length is 24inches and whose proportions are the same as a photograph that is 3 inches wide
    15·1 answer
  • Ella is making three batches of banana milkshakes she needs 3/4 gallon of milk for each batch her measuring cup oats 1/4 gallon
    5·1 answer
  • A gift box is 14 inches long 8 inches wide and 4 inches high how much wrapping paper is needed to wrap the gift box
    6·1 answer
  • Find the equation of the line.<br> Use exact numbers.<br> y= ? x+ ?
    10·2 answers
  • The system dx dt = −sx + sy dy dt = −xz + rx − y dz dt = xy − bz is the famous Lorenz system. It was developed as a model for we
    6·1 answer
  • Researchers recorded that a certain bacteria population declined from 130,000 to 400 in 18 hours. At this rate of decay, how man
    6·1 answer
  • Sammy Sales had the following receipts for his tree trimming business for the first six months of the year. What is the average
    6·1 answer
  • Solve by making a proportion. If seven movie tickets cost $57.40, how much would 5 tickets cost?
    15·1 answer
  • HELP ASAP!
    6·1 answer
  • Nancy pulled a number of colored balls from a bag and recorded the results.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!