a math test is worth 100 points and has 30 problems. each problem is worth either 3 points or 4 points. how many 4- point problems are there?

Respuesta :

Answer: Ten

Step-by-step explanation:

The harder part is to make an equation out of the text.

Let x be the number of 3 point questions.

In this case the nu,ber of 4 point questions is (30-x)

They all add up to 100 points.

3x + 4(30-x) =100

Solve for x

x=20

There are 20 three point questions

30-20=10 There are ten four point questions.

Lets check.  20*3 + 10*4 = 60+40=100

There'll be 20 3 points questions and 10 four points questions.

The equation that can be used to solve the question will be

a + b = 30 ...... i

3a + 4b = 100 ...... ii

From equation i, a= 30 - b

3a + 4b = 100

3(30 - b) + 4b= 100

90 - 3b + 4b = 100

b = 10.

There are 10 four points questions.

Therefore, there'll be 20 3 points questions.

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