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
garri49 [273]
3 years ago
12

At a clothing store Ted bought 4 shirts and 2 ties for a total price of $95. At the same store, Stephen bought 3 shirts and 3 ti

es for a total pace of $84. Each shirt was the same price and each tie was the same price.
Which system of equations can be used to find s, the cost of each shirt in dollars and t the cost of each tie in dollars.
Linda bought 1 shirt and 2 ties at the same store. Whats the total price in dollars and cents of Lindas purchase.​
Mathematics
2 answers:
Vinvika [58]3 years ago
8 0

lets take shirts as x and ties as y

4x+2y=95

3x+3y=84

common in 3 and 2 is 6

3*2 =6 and 2*3+6

3(4x+2y=95)

2(3x+3y=84)

12x+6y=285

6x+6y+168

add 12x and 6x  erase 6y's and add 285 and 168

18x=453

x=453/18

25.17

6x+6y=168

151.02+6y=168

6y=16.08

y=2.68

then

25.17+5.36

=30.53

total answer

jeka943 years ago
8 0

Answer:

t(ties) = $8,50 and s(shirts) = $19,50

Linda's purchase total price $36,50

Step-by-step explanation:

In mathematics, a <em>system of linear equations</em> is a set of two or more linear equations with more than one unknown that make up a mathematical problem that consists of finding the values ​​of the unknowns that satisfy those operations.  the unknowns are usually represented with letters of the alphabet

For this example, we can represent as a system of linear equations as follows:

For Ted

4s+2t=95 where s are shirts, t are ties, and 95 the total price of both products in $.

For Stephen

3s+3t=84 where s are shirts, t are ties, and 84 the total price of both products in $.

Each shirt and each tie were buying in the same clothing store which means that it has the same price and we can and we can relate both equations with a system of equations as follows:

\left \{ {{4s+2t=95} \atop {3s+3t=84}} \right.

Using the <em>reduction method</em>, which is to clear in one of the equations with any unknown.

In this case the system has two unknowns, the selected one must be replaced by its equivalent value in the other equation.

Let's clear s in the second equation

3s+3t=84\\3s=84-3t\\s=\frac{84-3t}{3} \\s=28-t

Substituting the value of s=28-t in the first equation

4s+2t=95 with s=28-t

4(28-t)+2t=95\\112-4t+2t=95\\-2t=95-112\\t=\frac{-17}{-2}=8.50

We got that the price of a tie is t = $8,50

Substituting the value of t in the first equation in order to obtain the value of s

3s+3t=84\\3s+3(8.50)=84\\3s+25.50=84\\s=\frac{84-25.50}{3} = 19.50

We got that the price of a shirt is s = $19,50

Checking if the result satisfies the equations

With t = 8.50 and s = 19.50

\left \{ {{4s+2t=95} \atop {3s+3t=2}} \right.\\\left \{ {{4(19.50)+2(8.50)=95} \atop {3(19.50)+3(8.50)=84}} \right.\\\left \{ {{78+17=95} \atop {58.50+25.50=84}} \right.

Linda bought 1 shirt and 2 ties at the same store. What's the total price in dollars and cents of Linda's purchase?

If a shirt value is s = $19,50 and a tie value is t = $8,50

Then s + 2t = ?

$19,50 + 2($8,50) = $36,50

You might be interested in
Aspen bakery sold 40 boxes of rolls in one day. Each box holds 6 rolls. How many rolls did the bakery sell?
Gnom [1K]
40 boxes * 6 rolls = 240 rolls
7 0
3 years ago
Read 2 more answers
Square root of 69x420
kirza4 [7]

69 • 420 = 28,980

√29980 = 173.15

5 0
2 years ago
Write the number in standard notation. 9.07 x 10−2
uysha [10]
pretty sure it’s .0907
3 0
2 years ago
Read 2 more answers
8 exceeds the quotient of Sam’s age and his brother’s age.
aliina [53]
The answer is A i did the question before

6 0
3 years ago
Ellentown college has appoximately 3 times 10 to the 3 power students and pengrove university approximate 30,000 students. how m
Andreas93 [3]

Answer:

Given: Ellentown college has approximately 3 times 10 to the 3 power students and pengrove university approximate 30,000 students.

⇒ number of students approximately in Ellentown college = 3 \times 10^3

also,

the number of students approximately in Pengrove university = 30,000 or 3 \times 10^4

We have to find how many times as much is the number of students at pengrove university as the number of students at Ellentown college.

\frac{number of students in Pengrove University}{number of students in Ellentown college} = \frac{3 \times 10^4}{3 \times 10^3} = 1 \times 10^1 = 10

therefore, 10 times as much is the number of students at pengrove university as the number of students at Ellentown college.

4 0
3 years ago
Other questions:
  • Hamburger buns come in packages of 8. Hamburger patties come in packages of 10.
    7·1 answer
  • If 6 pencils cost $3.60 what is the unit price of the pencils
    12·1 answer
  • Please help. Thank you in advance.
    5·1 answer
  • Need help ASAP! Triangles ABC and DEF are similar. Find x?
    11·2 answers
  • Hey please help me! :P Giving out brainlest too! :P
    15·1 answer
  • Joséphine noticed that out of 10 e-mails she
    10·2 answers
  • –4x-2y=-2<br> x-2y=9<br> what do you get if you subtract the second from the first
    5·1 answer
  • 7+3x-12x=3x+1 is it Infinitely many solutions, one solution, or no solutions with steps please
    11·1 answer
  • (this question only goes out to that guy who said he was gonna sue me)
    5·1 answer
  • PLEASE HELP ME <br> I don’t know how to solve this one please give me a good explanation
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!