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
vitfil [10]
3 years ago
14

A business orders 215 flowers for their employees on Valentine’s Day. Roses cost $3.00 each, carnations cost $1.00 each, and lil

ies cost $2.00 each. There are 15 more lilies than roses. The total of the order came to $410.00. How many of each type of flower were ordered?
How many of each type of flower were ordered?


Write the system of equations that represents this scenario.
Mathematics
1 answer:
TEA [102]3 years ago
6 0

Answer:

number of Roses = 60

number of carnations = 80

number of Lilies = 75

Step-by-step explanation:

Roses = $3.00

carnations = $1.00

Lilies = $2.00

Total order = 215

Let

x = number of Roses

y = number of carnations

z = number of Lilies

There are 15 more lilies than roses.

z = x + 15

The total of the order came to $410.00.

x + y + z = 215

3x + y + 2z = 410

substitute z = x + 15

x + y + x + 15 = 215

3x + y + 2(x+15) = 410

2x + y + 15= 215

3x + y + 2x + 30 = 410

2x + y = 215 - 15

5x + y = 410 - 30

2x + y = 200 (1)

5x + y = 380 (2)

Subtract (1) from (2)

5x - 2x = 380 - 200

3x = 180

Divide both sides by 3

x = 180/3

= 60

x = 60

Recall

z = x + 15

z = 60 + 15

= 75

z = 75

Substitute the value of x into (1)

2x + y = 200

2(60) + y = 200

120 + y = 200

y = 200 - 120

= 80

y = 80

Therefore,

x = number of Roses = 60

y = number of carnations = 80

z = number of Lilies = 75

You might be interested in
What happens to infrared radiation released by the Earth if there is an increased level of carbon dioxide in the atmosphere? (1
motikmotik

Answer: It is absorbed and heats the atmosphere.​

Step-by-step explanation:  it's absorbed and emitted back toward Earth's surface.

5 0
2 years ago
What is the value of x makes this equation true? -6x+3=45
Oduvanchick [21]

Answer:

x=-7

Step-by-step explanation:

subtract 3 from both sides

-6x=45-3

-6x=42

divide each term by 6

\frac{-6x}{-6} =\frac{42}{-6}

x=\frac{42}{-6}

simplify

x=-7

3 0
3 years ago
Read 2 more answers
18 POINTS<br><br><br> What are the 5 properties of a Parallelogram?
kap26 [50]

Answer:

There are six important properties of parallelograms I know:

Opposite sides are congruent (AB = DC).

Opposite angels are congruent (D = B).

Consecutive angles are supplementary (A + D = 180°).

If one angle is right, then all angles are right.

The diagonals of a parallelogram bisect each other

I will Add a picture of my test question wait,

6 0
3 years ago
Read 2 more answers
Solve the following problems
rosijanka [135]

Answer:

135°

Step-by-step explanation:

∠AOB = ∠COB = 90°

∠BOK = 45°

90 + 45 = 135°

8 0
2 years ago
Fill in the blanks HELPPP
Ede4ka [16]

tuesday: -28.5

Wednesday: -5

Thursday: -11.8

Friday: -4.5

6 0
3 years ago
Other questions:
  • A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 5 tables is $49 . The total cost to r
    13·2 answers
  • Please help when you have time ^_^
    5·1 answer
  • A lawn with an area of 300 square feet needs 1/2 pound of grass seed. How many pounds of grass seed are needed for a lawn that i
    7·1 answer
  • How to Simplify 3x•+5x-2y
    15·1 answer
  • What are the x and y-intercepts of the line described by the equation?<br><br> 3x−9y=10.8
    12·1 answer
  • Help on a,b, and d please!
    6·1 answer
  • I need help with this question???
    6·1 answer
  • Describe the process of deposition.
    5·1 answer
  • A force of 56N is required to keep a spring stretched 4m from the equilibrium position. How much work in Joules is done to stret
    9·1 answer
  • 5. The picture below showsthe number of candies in 2jars.56 candies 24 candiesChristian emptied both bagsand put the candies int
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!