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Sauron [17]
3 years ago
7

Mark wants to improve his free throw percentage in basketball He has shot 1,250 free throws over the last 20 days. He shot eithe

r 50 or 100 free throws a day. During the 20 day period, how many times did Mark shoot 100 free throws for the day?
Mathematics
1 answer:
Sedaia [141]3 years ago
4 0
Let's use a for number of days when he shot 50 shots and b for number of days when he shot 100 shots.
We have:
a + b = 20

We also know that he shot total of 1250 shots:
50a + 100 b = 1250

We have two equations. We can solve them for a and b.  Let's rearange first equation for a:
a= 20 - b
We insert this into second equation:
50 * (20 - b ) + 100b = 1250
1000 - 50b + 100b = 1250
50b = 250
b = 5
a = 20 - 5
a = 15

Mark shot 100 shots on 5 days.
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aul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeve shirts cost $7. How many of each type of shirt
vodomira [7]

Set up a system of equations:


\text{Total shirts bought}

x + y = 9


\text{Total cost}

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x represents how many tee shirts were bought, and y represents how many long sleeve shirts were bought.


For the first equation, subtract y from both sides to get x by itself:


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We'll now use substitution. Since x is equal to a value, we can substitute this value for the other equation:


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Distribute the 10 to both terms in parentheses:


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Combine like terms:


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6 long sleeve shirts were bought.


Now you have a value for y. Input this value into the first equation:


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By inspection 1 is a root of y ,
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Tell me if I’m right
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Step-by-step explanation:

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