If one store is selling #0.75# of a bushel of apples for #$9#, and another store is selling #2/3# of a bushel of apples for #$9#, which store has the better deal?

2 Answers
Sep 19, 2017

#0.75# of a bushel is more than #2/3#

Explanation:

The price in both shops is the same, so to find which is a better deal we need to know which shop gives more apples.

Compare the fractions #0.75 and 2/3# by writing them in the same form.

#0.75 = 75/100 = 3/4#

Write #3/4 and 2/3# with the same denominator.

The LCD is #12#

#3/4 color(blue)(xx 3/3) and 2/3 color(blue)(xx 4/4)" "larr# multiply both by #color(blue)(1)#

#" "9/12 and 8/12#

#" "9/12 > 8/12#

The shop selling #0.75# of a bushel is the better deal because we are getting more apples for the same amount of money.

Sep 19, 2017

The first store.

Explanation:

To better visually see which store has the best deal, convert both to fractions with the same denominator, which means converting the #0.75# into a fraction (which luckily isn't hard):

#0.75=3/4#

And like I said, find the common denominator between the two and convert them to that (which is #12#):

#9/12# for the first store.
#8/12# for the second store.

The first store's numerator is higher than the second store's, showing that it is a better deal.