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
F(X)=X^3 + 4 X^2-10=0 (between X=1 , X=2) بطريقه ال Bisection method<br><br>please fast​
svetlana [45]

I hope it's helpful for u but I am not sure my answer is right !

6 0
2 years ago
Does this graph represent a function?​
Novosadov [1.4K]

Answer:

d or c hope you get it right

Step-by-step explanation:

6 0
3 years ago
Find the slope and reduce P=(-2,3) Q=(8,3)
Tanya [424]

Answer:

∆y/∆x=y2-y1/x2-x1

=3-3/(-2+3)

=0/1

=o I.e it is undefine

7 0
3 years ago
Read 2 more answers
which sequence uses the algebraic expression 4n+5 to describe the relationship between a term in the sequence and its position,
Veronika [31]
Is there any enquations
3 0
3 years ago
Using the given equation find the missing coordinates of the points and then find the slope of the line for each equation y=3.5x
dangina [55]
Y=3.5x+4
a) 5=3.5x+4, 3.5x=1, x=1/3.5=2/7
b) y=3.5*10+4=35+4=39
5 0
3 years ago
Other questions:
  • In circle o,SU is a diameter What is MST
    10·2 answers
  • Thepie! plz help me! thx!
    5·1 answer
  • Add (7х2 – 3x) + (5х – 6).
    7·1 answer
  • Is 3000 an even number
    12·2 answers
  • 4×6=6×4 is an example of what property
    14·2 answers
  • L need help with this​
    12·1 answer
  • Find the slope of the line passi g through the points (-4, -5) and (6, -5).
    13·1 answer
  • Is -14 greater or less than 0?
    15·1 answer
  • When converting the equation -x+2y=-10 into slope-intercept form, the first step to solve for y would be to ?
    12·1 answer
  • Tell whether the ratios are equivalent: 3 days to 4 hours and 9 days to 12 hours. show your work.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!