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
Dovator [93]
3 years ago
9

A nursery has two hundred 7-gallon palm trees to sell, consisting of coconut palm trees, saw palmetto palm trees and christmas p

alm trees. Coconut palm trees sell for $75 each, saw palmetto palm trees sell for $45 each, and christmas palm trees sell for $30 each. The nursery has three times as many saw palmetto palm trees as christmas palm trees. A developer purchases all of the nursery's palm trees for a total price of 12,300. How many of each type of palm tree does the developer purchase?
Mathematics
1 answer:
motikmotik3 years ago
6 0

Total number of trees available to be sold = 200

Selling price of coconut palm trees sell (Pco)= $75 each

Selling price of saw palmetto palm trees sell (Pp) = $45 each

Selling price of christmas palm trees (Pch) = $30 each

Number of saw palmetto palm trees (Np) = 3 × Number of christmas palm trees (Nch)

Let number of coconut palm trees be Nco

Total price paid by developer for all the palm trees = 12,300

So Total number of trees = Nco + Np + Nch

⇒ 200 = Nco + 3×Nch + Nch

⇒ 200 = Nco + 4Nch ................ (i)

Total selling price of trees = Sco × Nco + Sp × Np + Sch × Nch

⇒ 12,300 = 75×Nco + 45×Np + 30×Nch

Dividing above equation by 5

⇒ 2,460 = 15Nco + 9Np + 6Nch

Substituting Np = 3Nch in the above equation

⇒ 2,460 = 15Nco + 9 (3Nch) + 6Nch

⇒ 2,460 = 15Nco + 33Nch ................ (ii)

Mutiply (i) with 15 and subtract from (ii)

⇒ 2,460 - 3,000 = 15Nco + 33Nch - 15Nco - 60Nch

⇒ -540 = 33Nch - 60Nch

⇒ -540 = 27Nch

⇒ Nch=20

If Nch = 20, Np = 3×20 = 60

Since Nco + Np + Nch = 200

⇒ Nco = 200 - (80)

⇒ Nco = 120

Hence, the developer purchased 120 coconut palm trees, 20 christmas palm trees and 60 saw palmetto palm trees.

You might be interested in
3. If 2x +9 32, then x could be<br> 11.5?
kvv77 [185]
2x+9= 32
2x= 32-9
2x= 23
x= 23:2
x= 11.5
6 0
3 years ago
Read 2 more answers
What is the sum of any rational number and its opposite and why
VladimirAG [237]

Answer:

Step-by-step explanation:

If by opposite you mean...

1 opposite is -1

If so then its 0 because any rational number and its reciprocal is always 0 its math crazy stuff

8 0
3 years ago
Can someone answer this question please (picture)
erik [133]

Answer:

31.5 units^2

Step-by-step explanation:

Rectangle area (RA) = l × w

Triangle area (TA) = (bh)/2

RA = 3 × 7

RA = 21

TA = (7 × 3)/2

TA = 21/2

TA = 10.5

(Triangles are congruent as shown by the lines on each side of the triangle so I can calculate area of both of them together as I just did)

Add areas together

21 + 10.5 = 31.5

7 0
3 years ago
What is the slope of a line that passes (4, 10) and (1, 10)
SpyIntel [72]

Answer:

The slope of the a straight line is given by the ratio of the Rise to the Run

of the line. The rise between the given points is zero.

The slope of the line that passes through the points (4, 10) and (1, 10) is zero.

Step-by-step explanation:

The given points are; (4, 10) and (1, 10)

The slope of a line, m, is given by the following formula;

Where;

(x₁, y₁) = (4, 10) and (x₂. y₂) = (1, 10), we get;

The slope of the line that passes through the points (4, 10) and (1, 10) is 0.

3 0
2 years ago
Read 2 more answers
What is 12.05 as a fraction
hram777 [196]

Answer:

241/20

Step-by-step explanation:

mmnmmmmmmnmmmmmm

4 0
3 years ago
Other questions:
  • The equation y+ 3 = 5(x - 3) represents a linear function. What is the y intercept of the equation
    10·1 answer
  • P=100a÷t solve for a
    15·2 answers
  • Please Help!!! I have the answer I just need a step by step explanation. I will give extra points and make you brainiest!!!
    8·1 answer
  • Can someone explain this question?I know the answer is t=0 but don't know why:(
    11·2 answers
  • Solve log(base 2) (x+1) + log (base 2) (x-5)= 4
    10·1 answer
  • One night, it is 24 ℃ warmer in Tucson than it was in Minneapolis. If the temperatures in Tucson and Minneapolis are opposites,
    6·2 answers
  • The following dataset represents the number of registered students for 60 college courses, sorted and arranged in rows of 5. Wha
    10·1 answer
  • 6. Homer and Bart plan to buy one computer for $499.00 strictly for gam purposes. Games cost $49.99 each. Part A: Define each va
    13·2 answers
  • What value of x is in the solution set of 3(x-4) 25x + 2?
    11·1 answer
  • Line I is shown below<br> Right triangles A B C and DEF are drawn to measure the slope of the line
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!