Question

of 21952 =7p × 4q, find the value of p and q​

Answer 1

Solve for p

21952=7p⋅4q

Multiply 7 and 4 to get 28.

21952=28pq

Swap sides so that all variable terms are on the left hand side.

28pq/28q =21952

The equation is in standard form.

28qp=21952

Divide both sides by 28q.  28qp  =  

21952/28q

Dividing by 28q undoes the multiplication by 28q.

p=  21952/28q

Divide 21952 by 28q.

p=  784/q

Solve for q

21952=7p⋅4q

Multiply 7 and 4 to get 28.

21952=28pq

Swap sides so that all variable terms are on the left hand side.

28pq=21952

Divide both sides by 28p.

28pq/28q  = 21952/28q

​Dividing by 28p undoes the multiplication by 28p.

q =  21952/28q

Divide 21952 by 28p.

q =  784/p