Stephen R. answered • 04/30/16

Science, Computer & Math Tutor

Solving this problem fall to the value and formula from the city council.

The total number of houses is 155.

The number of low income homes should be equal to half of the middle income homes +35.

So: let x = the number of middle class homes

then : 155 - x = the number of lower class homes this also x/2 + 35

solve for x:

155 - x = x/2 + 35

2(155-x) = 2(x/2) + 2(35) multiply by 2

310 - 2x = x + 70 simplify

(310 - 2x) - 70 = (x + 70) - 70 subtract 70

(240 - 2x) + 2x = (x) +2x add 2x

240 = 3x

80 = x

So the number of middle income homes is 80.

and the number of low income homes is 155-80 or 75.

The rest of the information given is not used to solve this.