Emily purchased 3 trays of strawberry plants for a total 16.47 dollars. She also purchased 10 trays of ivy plants. If the ratio of the price per tray of strawberry plants to the price per tray of ivy plants is 3 to 2, what is the total cost of all of the plants?
cost of strawberry trays = 16.47
cost of ivy trays / cost of strawberries = 3/2
cost of ivy trays = 3(16.47)/2
= ...
add up the two costs
Notice that the fact that you have 13 trays has nothing to do with it, it asked for the total cost
To find the cost of each tray would be easy.
Ok thanks
You answered this wrong.
3 trays of strawberry plants is $16.47 not just one strawberry plant.
Also the ratio is 3 strawberry plants for every 2 ivy plants. You inverted the ratio.
And they want to know how much 10 ivy plants trays + 3 strawberry trays would cost.
Shouldn't it be answered like this:
X= 16.47 + 10 (3/2)(16.47/3)
To find the total cost of all the plants, we need to find the individual costs of the strawberry plants and the ivy plants separately, and then add them together.
Let's start by finding the cost of the strawberry plants. We are given that Emily purchased 3 trays of strawberry plants for a total of $16.47. To find the cost per tray of strawberry plants, we need to divide the total cost by the number of trays.
Cost per tray of strawberry plants = Total cost / Number of trays
Cost per tray of strawberry plants = $16.47 / 3 trays
Calculating the cost per tray of strawberry plants:
Cost per tray of strawberry plants = $5.49 per tray
Next, we need to find the cost of the ivy plants. We are given that the ratio of the price per tray of strawberry plants to the price per tray of ivy plants is 3 to 2. This means that the cost per tray of ivy plants is two-thirds of the cost per tray of strawberry plants.
Cost per tray of ivy plants = (2/3) * Cost per tray of strawberry plants
Calculating the cost per tray of ivy plants:
Cost per tray of ivy plants = (2/3) * $5.49
Cost per tray of ivy plants = $3.66 per tray
Now that we have the cost per tray for both strawberry plants and ivy plants, we can find the total cost of all the plants.
Total cost of strawberry plants = Cost per tray of strawberry plants * Number of trays
Total cost of strawberry plants = $5.49 per tray * 3 trays
Calculating the total cost of strawberry plants:
Total cost of strawberry plants = $16.47
Total cost of ivy plants = Cost per tray of ivy plants * Number of trays
Total cost of ivy plants = $3.66 per tray * 10 trays
Calculating the total cost of ivy plants:
Total cost of ivy plants = $36.60
Finally, to find the total cost of all the plants, we add the total cost of strawberry plants and the total cost of ivy plants.
Total cost of all plants = Total cost of strawberry plants + Total cost of ivy plants
Calculating the total cost of all plants:
Total cost of all plants = $16.47 + $36.60
The total cost of all the plants is $53.07.