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Dovator [93]
2 years ago
6

In a mathematics and Science test conducted, 28 passed in Mathe- matics 5 passed in only Science and 7 failed in both subjects.

how many students wrote the test ?​
Mathematics
2 answers:
ludmilkaskok [199]2 years ago
6 0

Answer:

40 students

Step-by-step explanation:

In order to find the total number of test-takers, we must add the students together with no overlap.

<u>We must realize there are 4 types of students:</u>

Students who only passed in Math (x)

Students who only passed in Science (5)

Students who passed in both Math and Science (y)

Students who passed in neither Math nor Science (7)

Although we don't know how many people passed in only math or math and science, all of those students passed in math. The 28 students that passed in math include both of these categories and only these 2 categories. This said, we know that the number of x+y=28.

Now, all we have to do is add the numbers together.

5+7+28=40

Hence, we know that 40 students wrote the test.

mars1129 [50]2 years ago
4 0

Answer:

26 is the correct answer

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3 years ago
Solve for x.<br> 7(1x - 3) = 4(x + 5)
alexandr1967 [171]

Answer:

x = 41/3

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

7(1x - 3) = 4(x + 5)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Simplify:                                        7(x - 3) = 4(x + 5)
  2. Distribute:                                     7x - 21 = 4x + 20
  3. Subtract 4x on both sides:          3x - 21 = 20
  4. Add 21 on both sides:                  3x = 41
  5. Divide 3 on both sides:                x = 41/3

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    7(1(41/3) - 3) = 4(41/3 + 5)
  2. Multiply:                        7(41/3 - 3) = 4(41/3 + 5)
  3. Subtract/Add:               7(32/3) = 4(56/3)
  4. Multiply:                        224/3 = 224/3

Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.

And we have our final answer!

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