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ACT Aspire Math Videos 91 videos

ACT Aspire Math: Solving for x when It's in the Denominator
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ACT Aspire Math: Comparing Cost per Pound of Hello Kitty Candy
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ACT Aspire Math: How Many Hundredths Are There in Four Tenths?
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ACT Aspire Math: Calculating Sale Price in Dollars per Yard 0 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

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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