Word problem 36: kicks and punches
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Welcome to today’s daily word problem by Polymath. We have created an “easy” and “hard” problem, please feel free to adapt them to suit your needs!
Easier level:
Ella attends a martial arts class where she learns new moves every day. On Monday, she learned 3 new kicks and 5 new punches. The next day, she learned 2 more moves but forgot 1 punch. How many moves did Ella know by the end of Tuesday?
Answer:
Ella learned 8 moves on Monday (3 kicks + 5 punches).
On Tuesday, she effectively added 1 move to her total (2 learned - 1 forgotten).
By the end of Tuesday, Ella knew 9 moves in total.
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Harder level:
Charlie is interested in attending a martial arts class that offers various packages. A single class costs $15, a package of 5 classes costs $65, and a monthly unlimited package costs $120. Charlie decides to attend 2 single classes to try it out, then buys a package of 5 classes. How much does Charlie spend in total on martial arts classes and how much more would it have cost to do the same amount of classes without the package?
Answer:
Calculate the cost of 2 single classes: 2 × $15 = $30.
Calculate the cost of the package of 5 classes: $65.
Add the costs together to find the total: $30 + $65 = $95.
To calculate the cost of the classes without the package, we calculate the number of classes Charlie did in total
2 + 5 = 7
Then we multiply 7 by the single class cost of $15
7 x $15 = $105
Now we can calculate the difference
$105 - $95 = $10
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Happy problem-solving!
Sophie and the Polymath team
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