Question

Rosie and Dan share some sweets.

Dan gets

1:4
of the sweets.

Write down the ratio of the number of sweets Rosie gets to the number of sweets Dan gets.

Answer 1

Answer : 1 : 3 is the ratio

Answer 2

Given:

Rosie and dan share some sweets.

Dan gets ¼ of sweets

To find:

Write down the ratio of the number of sweets Rosie to the number of sweets Dan gets

Solution:

Let "x" be the no. of sweets shared between Rosie and Dan  

Then,

The no. of sweets Dan gets = ¼ of total sweets = $\frac{x}{4}$  

∴ The remaining no. of sweets that Rosie gets is,

=   $x - \frac{x}{4}$

=  $\frac{4x - x}{4}$

=  $\frac{3x}{4}$

Now,

The ratio of no. of sweets between them is,

=  $\frac{No\:of\:sweets\:with \:Rosie}{No.\:of\:sweets \:with Dan}$

=  $\frac{\frac{3x}{4} }{\frac{x}{4} }$

=  $\frac{3x}{4} \times \frac{4}{x}$

=  $\bold{3:1}$

Thus, the ratio of the number of sweets Rosie gets to the number of sweets Dan gets is → 3 : 1.

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