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ACT Aspire Math: Calculating Sale Price in Dollars per Yard 1 Views
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Description:
Gloria buys a piece of dinosaur-patterned fabric that measures
yd by
yd. She cuts the fabric into 6 smaller pieces and sells each piece for $5 to the other students in her sewing class.
What is Gloria's sale price in dollars per square yard of the fabric?
Transcript
- 00:01
All right More math drills coming your way Gloria buys
- 00:05
a piece of dinosaur pattern fabric that measures five six
- 00:09
of a yard by one half of a yard or
- 00:12
half a yard eighteen inches There she cuts the fabric
- 00:15
into six smaller pieces and cells each piece for five
Full Transcript
- 00:19
bucks to the other students in her sewing class Yeah
- 00:22
clearly a future capitalist in our midst here What is
- 00:25
gloria's sale price in dollars per square yard of the
- 00:30
fabric Gloria must be quite the trendsetter if six of
- 00:37
her classmates want to use the fabric she bought bringing
- 00:39
back the dinosaurs like it's eighty million years ago While
- 00:43
you take it any more retro than jurassic classic well
- 00:46
the questions asking about square yards which means we need
- 00:49
to think about the problem in terms of surface area
- 00:52
will the total surface area of gloria's original piece of
- 00:56
fabric can be calculated by multiplying the length of the
- 00:59
fabric by the width right Very clever So we have
- 01:02
five six of yards times a half a yard that
- 01:04
gets us five twelfths of ah square yard Gloria then
- 01:08
cuts her fabric into six pieces so the next step
- 01:11
is to find out the area of each p he
- 01:14
said Remember that dividing by a fraction is same thing
- 01:16
is multiplying by its reciprocal which will do so we're
- 01:19
going to multiply it by one six there So then
- 01:21
each piece is five seventy seconds of square yard there
- 01:26
Yeah so that's it And each one costs five bucks
- 01:29
So to find the price per square yard we then
- 01:32
divide the sale price by the surface area of each
- 01:35
piece Rex We want this in a full yard so
- 01:38
it's five bucks divided by five over seventy two It's
- 01:41
the same as five dollars time's at seventy two over
- 01:44
five which is seventy two dollars Holy moly that's a
- 01:47
quite the price to pay for dinosaur fashions We know
- 01:51
if you're happy and you know it's a tough luck 00:01:52.95 --> [endTime] there pal of blame darwin
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