PLEEEEASE!!!! HELPP!!!
1 answer:
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
△FEG is similar with △FHJ -----> by AA Similarity Theorem
so
we have
substitute the given values
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so... he sold 400 items, that means, whatever those quantities of c,b,p are, they add up to 400, thus
c+b+p = 400
now, the "c" sold for $10
the "b" sold for $8
and the "p" sold for $7
so, the amount of revenue on the "c" is 10 * c, or 10c
the revenue on "b" is 8*b or 8b
and the revenue on "p" is 7*p or 7p
whatever those amounts are, they ended up in $3,272
thus
10c + 8b + 7p = 3,272
now, he sold more lightly buttered, or "p", than just buttered corn or "b"
he actually sold twice as much, so whatever "b" is, "p" is twice that much
or
p = 2b
thus
solve for "b", to see how many buttered microwave popcorn Mike sold
how many lightly buttered? well, p = 2b
how many caramel ones? well c = 400 - 3b