Question

If M: N = 4:5, N: 0=6:7, and 0: P = 9: 11, then find N : P.

• A. 54:77
• B. 45:77
• C. 42:55
• D. 36:63

Answer 1

Answer:

A. 54:77

Assume the middle term written as 0 is actually the letter O.

Given:

M:N = 4:5
N:O = 6:7
O:P = 9:11

We need to find N : P.

From:

N:O = 6:7

and

O:P = 9:11

Make the value of O the same in both ratios.

LCM of 7 and 9 = 63.

• Multiply (N:O = 6:7) by 9:

N:O = 54:63

• Multiply (O:P = 9:11) by 7:

O:P = 63:77

Therefore,

N:P = 54:77