Respuesta :
she can have 13 mornings before running out of orange juice.
We are given
Detective Pi has 5 1/5 quarts of orange juice
we can write in fraction form
we get
[tex] =\frac{5*5+1}{5} [/tex]
[tex] =\frac{26}{5} [/tex]
so,
Detective Pi has [tex] =\frac{26}{5} [/tex] 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
[tex] =\frac{2}{5} x [/tex]
now, we can set it equal to 26/5
[tex] \frac{26}{5}=\frac{2}{5} x [/tex]
now, we can solve for x
we can multiply both sides by 5
[tex] \frac{26}{5}*5=\frac{2}{5} x*5 [/tex]
[tex] 26=2x [/tex]
divide both sides by 2
we get
[tex] x=13 [/tex]
so, total number of mornings is 13..........Answer
