Detective Pi has #5 1/5# quarts of orange juice. She likes to have #2/5# of a quart every morning for breakfast. How many mornings can Detective Pi have orange juice before she runs out?

2 Answers
Kalyanam S. · EZ as pi
May 17, 2018

Pi will run out of orange juice after 13 days.

Explanation:

#2/5# quarts of orange juice = 1 day

#5 1/5# quarts of orange juice = #(5 1/5) / (2/5)# days

#=> (26/5) / (2/5) = (26/cancel5) * (cancel 5/2)#

#=> = cancel(26)^color(red)(13) / cancel2 = 13 # days

EZ as pi
May 17, 2018

#13# days

Explanation:

Decide which operation you need to do.

Make an example with easy numbers for yourself first.
If the question had been " she has #30# cups of juice and drinks #2# cup a day, how long will the juice last?

This is a division: #30 div 2 = 15# days

In the question given you need to divide as well.

#" "5 1/5 div 2/5" "larr# change to an improper fraction

#= 26/5 xx 5/2" "larr# multiply by the reciprocal

#= cancel26^13/cancel5 xx cancel5/cancel2" "larr# simplify

#=13# days

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