Question

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?

Answer 1

`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.

Answer 2

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.