Question

Please solve both questions, i'm very confused! thank you

Answer 1

Explanation:

These types of problems can be solved with substitution.

We just have to translate the word problem into math.

#1:

F = family, I = individual

`F + I = 188\\95F + 42I = 12,507`

`F = 188-I\\95(188-I) + 42I = 12507\\17860 - 95I + 42I = 12507\\-53I = -5353\\I = 101\\\\F + I = 188\\F + 101 = 188\\F = 87`

87 Families, 101 individuals

#2:

The perimeter is 899 meters. The perimeter can be defined as:

`2L + 2W = P\\2L + 2W = 899`

We are also given that

`2L = W - 100\\so\\2L + 2W = 899\\W- 100 + 2W = 899\\3W = 999\\W = 333\\\\L = (W-100)/(2) = (333-100)/(2) = (233)/(2)`

W = 333 meters, L = 233/2 meters