The table shows the portions of a family budget that are spent on several expenses. Housing: 1/4
Food: 1/12
Automobiles: 1/15
Recreations: 1/40

a. How many times more is the expense for housing than for automobiles?

b. How many times more is the expense for food than for recreation?

c. The expense for automobile fuel is 1/60 of the total expenses. What fraction of the automobile expense is spent on fuel?

Step-by-step explanation:

a. How many times more is the expense for housing than for automobiles?

b. How many times more is the expense for food than for recreation?

c. The expense for automobile fuel is 1/60 of the total expenses. What fraction of the automobile expense is spent on fuel?

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b