Question

5) If p / q = 8 / 3 , then find the value of ratio (5p-q)/ q.​

Answer 1

Step-by-step explanation:

The ratio of p to q is p:q is 2:5.

Step-by-step explanation:

Since we have given that

\begin{gathered}\dfrac{25p+14q}{5p+7q}=\dfrac{8}{3}\\\\3(25p+14q)=8(5p+7q)\\\\75p+42q=40p+56q\\\\75p-40p=56q-42q\\\\35p=14q\\\\\dfrac{p}{q}=\dfrac{14}{35}=\dfrac{2}{5}\end{gathered}

5p+7q

25p+14q

=

3

8

3(25p+14q)=8(5p+7q)

75p+42q=40p+56q

75p−40p=56q−42q

35p=14q

q

p

=

35

14

=

5

2

So, the ratio of p to q is p:q is 2:5.

# learn more:

If p and q are two positive integer such that p=14q then find hcf of p and q

Answer 2

Answer:

37/ 3

Step-by-step explanation:

(5p - q)/ q

= 5p/q - q/q

= 5(p/q) - 1

= 5(8/3) - 1

= 40/3 - 1

= (40- 3)/3

= 37/3