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pantera1 [17]
3 years ago
5

Jeb took 1 hour 40 minutes to complete road race that was three laps around a section of the city. He took 1/4 of the total time

to run the first lap and 1/3 of the remaining time to run the second lap the rest of the time was used to run the third lap How many minutes did it take jeb to complete the race?
Mathematics
1 answer:
pychu [463]3 years ago
3 0
1 hour 40 minutes = 100 minutes 

<span>1st lap = 1/4 = 25 minutes </span>

<span>2nd lap = 1/3 of the remaining (100-25) 75 minutes = 25 minutes </span>

<span>3rd lap = 100- 25-25 = 50 minutes ANSWER </span>

<span>2) Let the length of rope be 36X cm </span>

<span>1/4 = 9X cm = tie the boxes </span>

<span>5/9 of remaining = 5/9 x 27X = 15X cm </span>

<span>Remaining = 36X - 9X - 15X = 12X </span>

<span>12X = 120 cm </span>

<span>X = 10 </span>

<span>Length of rope used for tying boxes = 9X = 90 cm ANSWER </span>

<span>3) Let the total fruit pieces be 12X </span>

<span>1/4 = 3X = cherries </span>

<span>Remaining = 9X </span>

<span>2/3 = pears = 6X = 48 </span>

<span>X = 8 </span>

<span>12X = 96 fruit pieces ANSWER</span>
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If I buy a stereo for $245 and this includes GST of 10%, what is the pre-GST price?
Ivan

Answer:  $222.73

===========================================

Work Shown:

x = pre-GST price

10% of x = 0.10x = tax amount

x + 0.10x = 1.10x = post-GST price = 245

1.10x = 245

x = 245/1.10

x = 222.7272 approximately

x = 222.73 is the price before tax.

------------

Check:

10% of 222.73 = 0.10*222.73 = 22.273 = 22.27

The tax amount ($22.27) is added to the pre-GST price to get

22.27+222.73 = 245

which matches the post-GST price mentioned.

The answer is confirmed.

Or another way to confirm the answer is to calculate this

1.10*222.73 = 245.003 = 245

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