Solved on Sep 25, 2023

5. Landscaping company ordered $x$ plants, $y$ trees for $\$ 964$ . Write equation: $964=17x+8y$
6. If plants cost $\$ 12$ each, find the cost of each tree using the equation from 5.

STEP 1

Assumptions1. The total cost of the order is $964. The order consists of17 plants and8 trees3. The cost of each plant is$ 124. The cost of each tree is unknown and we are trying to find it

STEP 2

First, we need to find the total cost of the plants. We can do this by multiplying the number of plants by the cost of each plant.
$Cost\, of\, plants = Number\, of\, plants \\times Cost\, per\, plant$

STEP 3

Now, plug in the given values for the number of plants and the cost per plant to calculate the cost of the plants.
$Cost\, of\, plants =17 \\times \$12$

STEP 4

Calculate the cost of the plants.
$Cost\, of\, plants =17 \\times \$12 = \$204$

STEP 5

Now that we have the cost of the plants, we can subtract this from the total cost to find the cost of the trees.
$Cost\, of\, trees = Total\, cost - Cost\, of\, plants$

STEP 6

Plug in the values for the total cost and the cost of the plants to calculate the cost of the trees.
$Cost\, of\, trees = \$964 - \$204$

STEP 7

Calculate the cost of the trees.
$Cost\, of\, trees = \$964 - \$204 = \$760$

STEP 8

Now that we have the total cost of the trees, we can divide this by the number of trees to find the cost of each tree.
$Cost\, per\, tree = Cost\, of\, trees / Number\, of\, trees$

STEP 9

Plug in the values for the cost of the trees and the number of trees to calculate the cost per tree.
$Cost\, per\, tree = \$760 /8$

STEP 10

Calculate the cost per tree.
$Cost\, per\, tree = \$760 /8 = \$95$ Each tree costs $95.

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5. Landscaping company ordered $x$ plants, $y$ trees for $\$ 964$ . Write equation: $964=17x+8y$
6. If plants cost $\$ 12$ each, find the cost of each tree using the equation from 5.

STEP 1

Assumptions1. The total cost of the order is $964. The order consists of17 plants and8 trees3. The cost of each plant is$ 124. The cost of each tree is unknown and we are trying to find it

STEP 2

First, we need to find the total cost of the plants. We can do this by multiplying the number of plants by the cost of each plant.
$Cost\, of\, plants = Number\, of\, plants \\times Cost\, per\, plant$

STEP 3

Now, plug in the given values for the number of plants and the cost per plant to calculate the cost of the plants.
$Cost\, of\, plants =17 \\times \$12$

STEP 4

Calculate the cost of the plants.
$Cost\, of\, plants =17 \\times \$12 = \$204$

STEP 5

Now that we have the cost of the plants, we can subtract this from the total cost to find the cost of the trees.
$Cost\, of\, trees = Total\, cost - Cost\, of\, plants$

STEP 6

Plug in the values for the total cost and the cost of the plants to calculate the cost of the trees.
$Cost\, of\, trees = \$964 - \$204$

STEP 7

Calculate the cost of the trees.
$Cost\, of\, trees = \$964 - \$204 = \$760$

STEP 8

Now that we have the total cost of the trees, we can divide this by the number of trees to find the cost of each tree.
$Cost\, per\, tree = Cost\, of\, trees / Number\, of\, trees$

STEP 9

Plug in the values for the cost of the trees and the number of trees to calculate the cost per tree.
$Cost\, per\, tree = \$760 /8$

STEP 10

Calculate the cost per tree.
$Cost\, per\, tree = \$760 /8 = \$95$ Each tree costs $95.

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5. Landscaping company ordered xxx plants, yyy trees for $964\$ 964$964. Write equation: 964=17x+8y964=17x+8y964=17x+8y6. If plants cost $12\$ 12$12 each, find the cost of each tree using the equation from 5.

STEP 1

STEP 2

First, we need to find the total cost of the plants. We can do this by multiplying the number of plants by the cost of each plant.Cost of plants=Number of plantstimesCost per plantCost\, of\, plants = Number\, of\, plants \\times Cost\, per\, plantCostofplants=NumberofplantstimesCostperplant

STEP 3

Now, plug in the given values for the number of plants and the cost per plant to calculate the cost of the plants.Cost of plants=17times$12Cost\, of\, plants =17 \\times \$12Costofplants=17times$12

STEP 4

Calculate the cost of the plants.Cost of plants=17times$12=$204Cost\, of\, plants =17 \\times \$12 = \$204Costofplants=17times$12=$204

STEP 5

Now that we have the cost of the plants, we can subtract this from the total cost to find the cost of the trees.Cost of trees=Total cost−Cost of plantsCost\, of\, trees = Total\, cost - Cost\, of\, plantsCostoftrees=Totalcost−Costofplants

STEP 6

Plug in the values for the total cost and the cost of the plants to calculate the cost of the trees.Cost of trees=$964−$204Cost\, of\, trees = \$964 - \$204Costoftrees=$964−$204

STEP 7

Calculate the cost of the trees.Cost of trees=$964−$204=$760Cost\, of\, trees = \$964 - \$204 = \$760Costoftrees=$964−$204=$760

STEP 8

Now that we have the total cost of the trees, we can divide this by the number of trees to find the cost of each tree.Cost per tree=Cost of trees/Number of treesCost\, per\, tree = Cost\, of\, trees / Number\, of\, treesCostpertree=Costoftrees/Numberoftrees

STEP 9

Plug in the values for the cost of the trees and the number of trees to calculate the cost per tree.Cost per tree=$760/8Cost\, per\, tree = \$760 /8Costpertree=$760/8

STEP 10

Calculate the cost per tree.Cost per tree=$760/8=$95Cost\, per\, tree = \$760 /8 = \$95Costpertree=$760/8=$95Each tree costs $95.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

5. Landscaping company ordered $x$ plants, $y$ trees for $\$ 964$ . Write equation: $964=17x+8y$
6. If plants cost $\$ 12$ each, find the cost of each tree using the equation from 5.

First, we need to find the total cost of the plants. We can do this by multiplying the number of plants by the cost of each plant.
$Cost\, of\, plants = Number\, of\, plants \\times Cost\, per\, plant$

Now, plug in the given values for the number of plants and the cost per plant to calculate the cost of the plants.
$Cost\, of\, plants =17 \\times \$12$

Calculate the cost of the plants.
$Cost\, of\, plants =17 \\times \$12 = \$204$

Now that we have the cost of the plants, we can subtract this from the total cost to find the cost of the trees.
$Cost\, of\, trees = Total\, cost - Cost\, of\, plants$

Plug in the values for the total cost and the cost of the plants to calculate the cost of the trees.
$Cost\, of\, trees = \$964 - \$204$

Calculate the cost of the trees.
$Cost\, of\, trees = \$964 - \$204 = \$760$

Now that we have the total cost of the trees, we can divide this by the number of trees to find the cost of each tree.
$Cost\, per\, tree = Cost\, of\, trees / Number\, of\, trees$

Plug in the values for the cost of the trees and the number of trees to calculate the cost per tree.
$Cost\, per\, tree = \$760 /8$

Calculate the cost per tree.
$Cost\, per\, tree = \$760 /8 = \$95$ Each tree costs $95.