Question

Detective Pi has 5 1/5 quarts of orange juice. She likes to have 2/5 of a quart every morning how may mornings can detective pi have orange juice before she runs out

Answer 1

She can have 13 mornings before running out of orange juice.

Answer 2

We are given

Detective Pi has 5 1/5 quarts of orange juice

we can write in fraction form

we get

$=\frac{5*5+1}{5}$

$=\frac{26}{5}$

so,

Detective Pi has $=\frac{26}{5}$ quarts of orange juice

Let's assume

total number of mornings is x

She likes to have 2/5 of a quart every morning

so,

total quantity of juice = total number of morning*She likes to have 2/5 of a quart every morning

total quantity of juice is

$=\frac{2}{5} x$

now, we can set it equal to 26/5

$\frac{26}{5}=\frac{2}{5} x$

now, we can solve for x

we can multiply both sides by 5

$\frac{26}{5}*5=\frac{2}{5} x*5$

$26=2x$

divide both sides by 2

we get

$x=13$

so, total number of mornings is 13..........Answer