Question

Anita purchased 30 liters of juice. She gave 5 1/4 liters of juice to her friend Neetu and 2 1/6 liters of juice to her brother. Find how many liters of juice was left with her? Also write the value depicted by Anita.

Answer 1

Answer:

$12\frac{2}{3}$ litres of juice was left with Anita.        

Step-by-step explanation:

Given : Total amount of juice purchased by Anita = $30$ litre

              Amount of juice given to Neetu = $5\frac{1}{4}$ litre

            Amount of juice given to her brother = $2\frac{1}{6}$ litre

To find : Find how many liters of juice was left with her?

Solution :

• It is given that Total amount of juice purchased by Anita = $30$ litre

              Amount of juice given to Neetu = $5\frac{1}{4}$ litre

            Amount of juice given to her brother = $2\frac{1}{6}$ litre

• We have to find the remaining litres of juice left for Anita.
• To find the left over juice, we have to subtract the total amount of juice
• given to Neetu and her brother from total amount of juice.
• ∴ The equation becomes,

        Amount of juice left $=30-(5\frac{1}{4}+2\frac{1}{6} )$

• Converting mixed fraction into fraction, we get

                            $=30-(\frac{21}{4} +\frac{13}{6})$

• On doing cross multiplication, we get

                            = $30-(\frac{21*6+4*13}{4*6})$

                            = $30-(\frac{126+52}{24} )$

                            = $30-\frac{176}{24}$

• Further, by cross multiplication, we get

                            = $\frac{30*24-176}{24}$

                            = $\frac{720-176}{24}$

                            = $\frac{544}{24}$

                            = $12\frac{2}{3}$ litres

∴   $12\frac{2}{3}$ litres of juice was left with Anita.