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ttglilrob
23.10.2020 •
Mathematics
An interior decorator wants to complete a sunroom with three types of plants: Kentia Palm plants, Schefflera plants, and Areca Palm plants. Each Kentia Palm plant costs $45, each Schefflera plant costs $35, and each Areca Palm plant costs $40. The decorator plans to buy 10 plants. Let k be the number of Kentia Palm plants and s be the number of Schefflera plants the decorator buys. In terms of k and s, how many Areca Palm plants does the decorator buy?
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Ответ:
Step-by-step explanation:
Kentia Palm plant = $45, Schefflera plant = $35
Areca Palm plant = $40
The decorator plans to buy 10 plants.
A.) Let k be the number of kentia palm plants and s be the number of schefflera plants the decorator buys. In terms of k and s, how many Areca Palm plants does the decorator buy?
k = number of kentia palm plants s = number of schefflera plants
Number of Areca Palm plants = total number of plants - (number of kentia palm plants + number of schefflera plants
= 10 - (k + s)
Number of Areca Palm plants, a = 10 - (k + s)
B.) write and simplify an expression in term of k and s for the total cost of the plants.
Total cost = 45k + 35s + 40a
Substitute a = 10 - (k + s)
Total cost = 45k + 35s + 40{10 - (k + s)
= 45k + 35s + 40(10 - k + s)
= 45k + 35s + 400 - 40k + 40s
= 5k + 75s + 400
Total cost = 5k + 75s + 400
C.) Of the 10 plants the decorator buys, 2 are kentia palm plants and 5 are schefflera plants. Use your expression from part (b) to find the total cost.
Total cost = 5k + 75s + 400
k = 2 and s = 5
= 5(2) + 75(5) + 400
= 10 + 375 + 400
= 785
Total cost = 785
Ответ:
Step-by-step explanation:
We have
. We can start by multiplying both sides by 2 to get rid of the fraction. This gets us to
. After, we should multiply each side by -1 to get rid of the negative variable. This gets us to
. Make sure to remember to flip the inequality sign, because if you multiply/divide by a negative number, you have to flip the sign.
I hope this helped!