Question

The ratio of oranges to bananas is 5:7. Find the number of oranges if there are 126 bananas.

• A. 90
• B. 100
• C. 91
• D. 92

Answer 1

The correct option is A 90

Ratio of oranges to bananas $=5:7$
Let the number of oranges be $x$ when there are 126 bananas.
As the ratio of oranges to bananas remains the same
$\Rightarrow 5:7::x:126$
$\Rightarrow \frac{5}{7}=\frac{x}{126}$
By cross-multiplication, we get

$5\times 126=7\times x$
$\Rightarrow x=\frac{5\times 126}{7}=5\times 18$
$\Rightarrow x=90$
$\therefore$ There will be 90 oranges when there are 126 bananas.