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Mrs.smells math class has 20 questions worth 100 points. if the multiple choice are worth 3 points and the short answer is worth 11 point each how many of each questions are there

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Respuesta :

Let, Number of multiple choice = x
Number of short answer question = y

Now, x + y = 20
& 3x + 11y = 100

Multiply 1st equation by 3, and subtract from eq,2, 
3x + 3y = 60
After subtraction, 
8y = 40
y = 40/8
y = 5

Now, substitute in eq (1), 
x + 5 = 20
x = 15

In short, There are 15 Multiple choice & 5 short answer questions

Hope this helps!

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