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WITCHER [35]
3 years ago
10

An instructor wants to write a test with 25 questions where each question is worth 3, 4, or 5 points based on difficulty. He wan

ts the number of 3-point questions to be 4 less than the number of 4-point questions, and he wants the quiz to be worth a total of 100 points. How many 3, 4, and 5 point questions could there be?
Mathematics
1 answer:
irakobra [83]3 years ago
3 0

ANSWER

Find out the how many 3, 4, and 5 point questions could there be.

To proof

Let us assume that the 3 points based question be = x

Let us assume that the 4 points based question be = y

Let us assume that the 5 points based question be = z

As given

An instructor wants to write a test with 25 questions

than the equation become in the form

x + y + z = 25

he quiz to be worth a total of 100 points.

than the equation is becomes

3x + 4y + 5z =100

As given

He wants the number of 3-point questions to be 4 less than the number of 4-point questions

x = y -4

Than the three equation are

x + y + z = 25 ,3x + 4y + 5z =100 and x = y -4

put  x = y -4 in the x + y + z = 25 ,3x + 4y + 5z =100

than

2y + z = 29, 7y +5z= 112

multiply 2y + z = 29 by 5 and subtracted 7y +5z= 112

10 y -7y + 5y -5y = 145 -112

3y = 33

y = \frac{33}{3}

y =11

put in the  x = y -4

x = 11-4

x= 7

put the value of x ,y in the x + y + z = 25

7 + 11 +z =25

18 +z = 25

z = 25 -18

z=7

therefore

numbers of the 3 point question be = 7

numbers of the 4 point question be = 11

numbers of the 5 point question be = 7

Hence proved



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Answer:

Step-by-step explanation:

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3 years ago
The dollar-mart grocery stores sales six bars of soap for $1. how many soaps can a customer buy with $9.
jeka94

Answer:

54

Step-by-step explanation:

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We need to multiply both sides of the equation by the same amount so that $9 is on the right.

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Hope this makes sense. Feel free to ask further if need be.

8 0
2 years ago
Which sign makes this number sentence true? |78| __ |-222|
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6 0
3 years ago
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Paraphin [41]

Answer:

C. 10z(x - 2y)

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The common factors are 2, 5, and z. The greatest common  factor is 10z.

Rewrite them with the GCF as a factor

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Replace the terms in the original expression with the factored terms

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3 years ago
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Answer:

25

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So, your answer is 25.

3 0
3 years ago
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