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)
[tex]x \times 2 + y \times 5 = 100[/tex]----------------------(2)
From equation (1), we get
x = 26-y-----------------------------(3)
Substituting (3) in (2), we get
[tex](26-y) \times 2 + y \times 5 = 100[/tex]
Now solving the above equation
[tex](52 -2y) +5y= 100[/tex]
[tex]52-2y+5y= 100[/tex]
[tex]52 +3y= 100[/tex]
[tex]3y= 100-52[/tex]
[tex]3y=48[/tex]
[tex]y =\frac{48}{3}[/tex]
y=16
Substituting y =16 in eq(3),
x = 26-16
x= 10
