Answer:
The cost of 1 Douglas Fir Tree = $30
The cost of 1 Noble Fir Tree = $ 79
Step-by-step explanation:
Let the cost of 1 Douglas Fir tree = $ x
Let the cost of 1 Noble Fir tree = $ y
Total Amount Earned in morning = $2,417
Total Amount Earned in evening = $2,022
Now, according to the question:
20 x + 23 y = 2417
and 20 x + 18 y = 2022
Subtraction both equation , we get
20 x + 23 y - (20 x + 23 y) = 2417 - 2022
or, 20x - 20x + 23 y - 18 y = 395
or, 5 y = 395
⇒ y = 395 / 5 = 79
Hence, the cost of 1 Noble Fir Tree = $ 79
Now, put the value of y in 20 x + 23 y = 2417 , we get
20x + 23(79) = 2417
or, 20x = 2417 - 1817 = 600
or, x = 600/20 = 30
Hence, the cost of 1 Douglas Fir Tree = $30
