Question

What is the answer? and how?

Answer 1

Answer:

The math test had 10 equation questions and 16 vocabulary questions.

Step-by-step explanation:

Given:

Total number of questions in the math test  = 26

Total marks of the math test = 100

Points for one equation question = 2

Points for one vocabulary question = 5

To Find:

The number of equation question and vocabulary question = ?

Solution:

Let the number of equation  question be x and the number of vocabulary  question be y

Then

x+y = 26--------------------------(1)

$x \times 2 + y \times 5 = 100$----------------------(2)

From equation (1), we get

x = 26-y-----------------------------(3)

Substituting (3) in (2), we get

$(26-y) \times 2 + y \times 5 = 100$

Now solving the above equation

$(52 -2y) +5y= 100$

$52-2y+5y= 100$

$52 +3y= 100$

$3y= 100-52$

$3y=48$

$y =\frac{48}{3}$

y=16

Substituting y =16 in eq(3),

x = 26-16

x= 10