Question

A nursery has two hundred 7-gallon palm trees to sell, consisting of Coconut Palm trees, x, Saw Palmetto Palm trees, y, and Christmas Palm trees, z. Coconut Palm trees

sell for $75 each, Saw Palmetto Palm trees sell for $45 each, and Christmas Palm trees sell for $30 each. A developer purchases all of the nursery's palm trees for a total

price of $12,300. The nursery has three times as many Saw Palmetto Palm trees as Christmas Palm trees. Write a system of linear equations to represent this situation.

A 2+y+z=7

75x + 45y + 30z = 12,300

y = 32

B. x+y+z= 12,300

75x + 45y + 30z = 200

y = 32

C. 2 + y + z = 200

752 + 45y + 30z = 12,300

y = 32

D. 2+y+z= 200

753 + 45y + 30z = 12,300

z=3y


is it a, b,c or d

Answer 1

The answer is option D. Note: the option is not properly formatted

D. x+y+z=200----------------1

75x+45y+30z=12300-------2

z=3y---------------3

Explanation:

In this problem, we want to model the expression to represent the situation

let the numbers of trees be

Coconut Palm trees be x,

Saw Palmetto Palm trees be y, and

Christmas Palm trees be z.

total trees =200

x+y+z=200----------------1

also costs are

Coconut Palm trees= $75 each

Saw Palmetto Palm trees = $45 each

Christmas Palm trees =$30 each

cost of all trees =$12,300

75x+45y+30z=12300----------------------2

z=3y---------------3

The system of equation is

x+y+z=200----------------1

75x+45y+30z=12300-------2

z=3y---------------3