Answer:
The system of equations are:
s + b = 1650.... Equation 1
0.04s + 1.5b = 1818........ Equation 2
The number of
Small trees = 450 trees
The number of Big trees = 1200 trees
Step-by-step explanation:
From the above question
Small trees = s
Large trees = b
An urban forest has 1,650 large and small trees.
Hence,
s + b = 1650.... Equation 1
s = 1650 -b
A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. Together, these trees remove 1,818 kg of pollution each year.
Hence:
0.04s + 1.5b = 1818........ Equation 2
We substitute 1650 - b for s
0.04(1650 - b) + 1.5b = 1818
66 - 0.04b + 1.5b = 1818
- 0.04b + 1.5b = 1818 - 66
1.46b = 1752
b = 1752 ÷ 1.46
b = 1200 trees
Solving for x
1650 - b = s
s = 1650 - 1200
s = 450 trees
