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Finger [1]
3 years ago
15

A test worth 125 points has 49 questions on it. Multiple Choice questions are worth 2 points each and short answer questions are

worth 5 points each. How many of each type of question are on the test?
Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0

Answer:

There were 40 2-point questions and 9 3-point questions.

Step-by-step explanation:

To solve this situation, write two equations. One for the number of questions and one for the number of points.

Let x be the number of 2 point questions.

Let y be the number of 5 point questions.

x + y = 49

Now since x are each worth 2 points, the total points is 2x.

And since y are each worth 5 points, the total points is 5y.

So 2x + 5y = 125. Substitute one of the equations into the other to solve for the variables.

x + y = 49 becomes x = 49 - y. Substitute it.

2(49-y) + 5y = 125

98 - 2y + 5y = 125

98 + 3y = 125

3y = 27

y = 9

Substitute y = 9 back into the equation x = 49 - y to find x.

x = 49 - 9

x = 40

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Answer:

The cost per pound of bananas is $0.84.

Step-by-step explanation:

The question asks to use the given information to set up a proportion and solve for the missing variable.  In this case, we know that the cost of 2 1/4 (or 2.25) bananas is $1.89.  Since they are asking for cost per pound, we can set up a ratio (fraction):

\frac{1.89}{2.25}=\frac{cost}{pounds}

Since the cost of bananas is the same regardless of the number of pounds, we can set up a proportion to find the cost for just one (1) pound:

\frac{1.89}{2.25}=\frac{x}{1}  Where 'x' is the cost.

Using cross-multiplication and division we get:  2.25x = 1.89.  Next, we use inverse operations to divide both sides by 2.25:  2.25x/2.25 = 1.89/2.25.  Solve:  x = 0.84 or $0.84 per pound.  

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Step-by-step explanation:

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What 3 consecutive even numbers added together equal 42?Use the equation n+(n+2)+(n+4)
Neporo4naja [7]
Let us assume the first even number = n
The second consecutive even number = n + 2
The third consecutive even number = n + 4
The addition of the three consecutive even numbers is 42 and it is already given in the question. Based on the information's given in the question, the answer can be easily deduced.
Then, the equation can be written as
n + (n + 2) + (n + 4) = 42
3n + 6 = 42
3n = 42 - 6
3n = 36
n = 36/3
   = 12
So
The first even number = 12
The second consecutive even number = n + 2
                                                               = 12 + 2
                                                               = 14
The third consecutive even number = n + 4
                                                           = 12 + 4
                                                           = 16
So the three consecutive even numbers are 12, 14, 16.
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