WEBVTT
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"Barbara's Catering Company
makes the best fruit salad,
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"despite using only four ingredients.
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"They use four apples for every mango,
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"two pears for every apple,
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"and one pineapple for every mango."
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We're given basically a ratio here
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of these fruits to one another,
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and in any question like
this, you're basically looking
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at, "For every certain
number of this thing,
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"you have a certain number of this thing,
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"and a certain number of this thing."
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The best way to start in
answering this kinda question is
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to write out what the relationship is;
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what's the pattern here.
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It says, "If they used
8 pineapples in their
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"most recent batch, how
many total pieces of fruit
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"did they use?"
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What we ultimately wanna
find out is pineapples.
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I'm sorry, we wanna know
how many total pieces
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of fruit they used, but we're basing this
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off of the pineapples,
which is what we know.
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Let's represent everything
else in terms of pineapples.
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For every one, and one
pineapple for every mango.
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So that means there's a
one-to-one relationship
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between pineapples and mangoes.
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If we call pineapples x, then mangoes
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equals one times x, because
if you have one pineapple,
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you have one mango.
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So that's a one-to-one relationship.
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Then it says you have four
apples for every mango.
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A mango is one x, so an apple
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would be four times that.
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Four times one is four,
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so four x is the number of apples.
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Then it says two pears for every apple.
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So two times that four
x, which is the apples.
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So pears would equal two times four,
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which is eight x.
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So the total number of
pieces of fruit used
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if x is our number of pineapples
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would be x plus one x, or x plus x,
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plus four x plus eight x.
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So we have one plus one is two,
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plus four is six;
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six plus eight is 14.
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So 14 times x is gonna
give us the total number
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of pieces of fruit that were used.
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X in this case, our number
of pineapples, is eight,
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so we can say eight times 14.
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So, 14 times eight:
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eight times four is 32;
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eight times one is eight,
and we add the one,
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and we get 112.
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So there are 112 total
pieces of fruit used,
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based on this ratio, or this
pattern, of how the different
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types of fruit are related to one another.
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First, define the pattern that exists,
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and then use whatever
specific data they want you
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to use to scale that pattern,
to find whatever total it is
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that they're looking for;
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in this case, the total
number of pieces of fruit
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that go into making this fruit salad.