Question

If p: q = 4 : 5, Then find (8p+3q):(8p-3q)

• A. 47:17
• B. 21:37
• C. 15:33
• D. 3:5

Answer 1

Answer:

A. 47:17

Given:

p : q = 4 : 5

Let

$p = 4k,\qquad q = 5k$

for some constant (k).

Now calculate:

$8p + 3q = 8(4k) + 3(5k) = 32k + 15k = 47k$

$8p - 3q = 8(4k) - 3(5k) = 32k - 15k = 17k$

Therefore,

$(8p+3q):(8p-3q)=47k:17k=47:17$