Question

In a section of Mills City, the ratio of
private homes to apartment house
dwellings is 5/3. If all the apartment house
dwellings are brick structures and 1/10 of
the private homes are wooden structures,
what is the maximum portion of houses
that may be brick?

Answer 1

For answer see the attachment

Answer 2

Answer:

The ratio of  private homes to apartment house  dwellings is 5/3.

this means the fraction you have a 5/3 of the total amount of hpuses are private homes.

if 1/10 isof the privates homes are wooden,the at the most ,9/10 of them are brick.

multiply 5/3 by 9/10 to get the fraction of private homes that are brick

now,

5 /3 × 9 /10

=   5 × 9 /3 × 10

=   45 /30

=   45 ÷ 15/ 30 ÷ 15

=   3/2

hence,3/2 is the maximum portion of houses

that may be brick.