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In this example, Brian needs 10 cups of fruit juice to make Sangria.
How many quarts of juice should he buy at the grocery store?
So what we're looking for ultimately is a relationship between 10 cups
and quarts. So let's write that
here, actually let's do
this. Let's say 10 cups
equals how many
quarts.
Alright, so let's start with cups and let's see if we can get from cups
to quarts in as few steps as possible. So I have 10 cups
over 1, times, I'm going to
work with the relationship between cups and
pints. I know that one pint is
2 cups, and I know that
1 quart
is 2 pints.
So this should get us from cups
to quarts fairly quickly. So there's cups
going way, and there's pints going away, so let's see what we have left to
multiply.
10 times 1 times 1 is 10. The denominator
2 times 2 is 4. I have 10
over 4 quarts and
if I make that into a mix number, that's
4 goes into 10 2 times, leaving
2 over the remainder
of 2 over the denominator of 4. 2 and 2/4 quarts,
that's 2 and 1/2 quarts. I doubt that Brian is going to be able to go to the
store and buy
2 and 1/2 quarts, but that is the relationship between 10 cups
and quarts. So I think that
for Brian his best bet would be
to buy 3 quarts of juice at the store.