Question

If a:b = 3:2, b:c = $\frac{1}{4}:\frac{1}{5},c:d=1\frac{1}{2}:3\frac{1}{2}$
What is a:d?

• A. 45 : 56
• B. 15 : 14
• C. 15 : 22
• D. 45 : 67

Answer 1

The correct option is A 45 : 56

Given $a:b=3:2,b:c=\frac{1}{4}:\frac{1}{5}andc:d=1\frac{1}{2}:3\frac{1}{2}$

Then $\frac{a}{b}=\frac{3}{2}$,$\frac{b}{c}=\frac{\frac{1}{4}}{\frac{1}{5}}=\frac{5}{4}$

$\frac{C}{d}=\frac{1\frac{1}{2}}{3\frac{1}{2}}=\frac{\frac{3}{2}}{\frac{7}{2}}=\frac{3}{7}$

$\therefore \frac{a}{b}\times \frac{b}{c}\times \frac{c}{d}=\frac{3}{2}\times \frac{5}{4}\times \frac{3}{7}$

$\Rightarrow \frac{a}{d}=\frac{45}{56}$

So a:d=45:56