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
uranmaximum [27]
2 years ago
12

A department store sells yellow and purple shirts. Each yellow shirt is the same price. Each purple shirt is the same price. How

ever, the price of yellow shirts is different from the price of purple shirts.
On Monday, the store collected $165 selling 5 purple shirts and 7 yellow shirts.

On Tuesday, the store collected $213 selling 4 purple shirts and 11 yellow shirts.

What is the cost of each shirt? Graph the point that represents the cost of each shirt. The provided line on the graph represents Tuesday's sales.

Mathematics
2 answers:
lana [24]2 years ago
8 0

Answer:

Each purple shirt costs $12

Each yellow shirt costs $15

Step-by-step explanation:

Let's call:

x: purple shirt price (in dollars per shirt)

y: yellow shirt price (in dollars per shirt)

On Monday, the store collected $165 selling 5 purple shirts and 7 yellow shirts.  That is:

5*x + 7*y = 165   (eq. 1)

On Tuesday, the store collected $213 selling 4 purple shirts and 11 yellow shirts. That is:

4*x+11*y = 213    (eq. 2)

We can isolate y in equation 1, as follows:

7*y = 165 - 5*x

y = 165/7 - 5/7*x

and replace it in equation 2:

4*x+11*(165/7 - 5/7*x) = 213

4*x+ 1815/7 - 55/7*x = 213

-27/7*x = 213 - 1815/7

-27/7*x = -324/7

x = -324/-27 = 12

Then:

y = 165/7 - 5/7*12 = 15

If we graph the system of equations made by equations 1 and 2, we get the figure attached. The intersection of the two lines is the solution of the system.

Aleksandr [31]2 years ago
7 0

Answer:

The Cost of  yellow shirts is $15 and the cost of purple shirt is $ 60

Step-by-step explanation:

Let cost of one yellow shirt be x

and the cost of one purple shirt be y

On Monday

5x + 7y = 165--------------------(1)

On Tuesday

4x + 11y = 213----------------------(2)

To solve (1) and (2)

multiplying eq(1) with 4

20x + 28y = 660--------------------(3)

multiplying eq(2) with 5

20x + 55y = 1056-------------------(4)

Subtracting (3) from (4)

20x + 55y = 1056

20x + 28y = 660

(-)

-----------------------------------

0x  +27y = 405

-----------------------------------

y = \frac{405}{27}

y = 15

Substituting y value in eq(1)

5x + 7(15) = 165

5x + 105 =405

5x =405 -105

5x =300

x = \frac{300}{5}

x =60

You might be interested in
Find the radius of a circle using the Pythagorean theorem, given that the center is at (1, 5) and the point (5, 1) lies on the c
Assoli18 [71]

Given :

Center of circle, C = ( 1 , 5 )

Point on circle, P = ( 5 , 1 )

To Find :

The radius of a circle.

Solution :

We know, radius of circle is the distance between center and point of circle.

Distance between two points A(p,q) and B(r,s) is given by :

D = \sqrt{(p-r)^2+(q-s)^2}

So, distance between the points (1, 5) and (5, 1) is :

D = \sqrt{(1-5)^2+(5-1)^2}\\\\D = 5.66 \ units

Therefore, radius of circle is 5.66 units.

Hence, this is the required solution.

4 0
3 years ago
60 dollars for 12 hamburgers how much dollars per hamburger
natali 33 [55]
5. 60/12 is 5 :) hope this helps
6 0
3 years ago
The distribution of the heights of students in a large class is roughly Normal. Moreover, the mean height is 68 inches, and appr
Thepotemich [5.8K]

Answer:

Probably equal to 6 or 7.

Step-by-step explanation:

3 0
3 years ago
Help Number three please!!!
Lubov Fominskaja [6]

Step-by-step explanation:

108-ambulance

100- police

1098-child laber

5 0
2 years ago
kyra invested $400 at 3% for 3 years . lishshawn invested $500 at 4% for 2 years calculate who earn the most interest and how mu
eimsori [14]

Answer:

Okay, so a bit of math is involved, along with steps.

Step-by-step explanation:

Kyra invested $400 at 3% for 3 years. meaning 3% of $400 is 12. 400+12=

Year 1: $412

3% of 412=12.23+412=

Year 2: $424.23

3% of 424.23=12.7+423.23=

Year 3: $435.93

Kyra made $35.93 in investments.

Lishsawn invested $500 at 4% for 2 years. Meaning, 4% of $500 is 20. 500+20

Year 1: $520

4% of 520=20.8+520

Year 2: $540.8

Lishawn made $40.8 dollars in investments. Meaning that Lishawn made $4.87 more dollars

6 0
3 years ago
Other questions:
  • Luis bought two pieces of wax to make candles. One piece weighed 3.49 kg, and the other weighed 4.71 kg. If wax costs $1.80 per
    15·1 answer
  • Solve x - y = 5 for y
    7·1 answer
  • In the figure below, the m∠2 is 50°.<br><br> Find the m∠1. Label your answer.
    12·1 answer
  • Which situation can be represented by 25 over 9
    8·1 answer
  • Graph y=-3x+7 Plz help me
    14·2 answers
  • Write the equation of the parabola in vertex form vertex (0,0) passes through (2,1)
    8·1 answer
  • 2 very important questions
    7·2 answers
  • Which of the following will result in a rational answer?
    7·1 answer
  • Whoever can put this in the comments I mean the answer get the free blaringly Supreme Mike if your first one to answer you get a
    5·2 answers
  • write the equation in slope intercept form for a line that will pass through (0,3) and have a slope of (-8,15)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!