Question

Rachel saved money to buy art supplies. She used 13 of her savings to buy brushes. She used 35 of her savings to buy paint. What fraction of her savings does she have remaining?

Answer 1

Given:

Rachel used $\dfrac{1}{3}$ of her savings to buy brushes.

She used $\dfrac{3}{5}$ of her savings to buy paint.

To find:

The fraction for remaining savings.

Solution:

Fraction that Rachel used of her savings to buy brushes and paint is

$\text{Fraction for used amount}=\dfrac{1}{3}+\dfrac{3}{5}$

                                    $=\dfrac{5+9}{15}$

                                    $=\dfrac{14}{15}$

Now,

$\text{Fraction for remaining savings}=1-\text{Fraction for used amount}$

$\text{Fraction for remaining savings}=1-\dfrac{14}{15}$

$\text{Fraction for remaining savings}=\dfrac{1}{15}$

Therefore, $\dfrac{1}{15}$ of her savings is remaining.