Answer:
4
Step-by-step explanation:
16/4 = 4
if 75% of equipment is iron then do the math.
So it would be 4(2) + 4 = 75% of 16
So if 75% of 16 is 12 you need that extra 4 to get you to 16
The number of woods are [tex]\fbox{\begin \\\math{4}\\\end{minispace}}[/tex].
Further explanation:
Consider the number of woods as [tex]x[/tex] and number of irons as [tex]y[/tex].
Since the number of irons is four more than two times the number of woods, the number of irons is calculated as follows:
[tex]y=2x+4[/tex] ......(1)
The number of equipment consists of the woods and irons, therefore, the number of equipment [tex]n[/tex] is written as the sum of number of woods [tex]x[/tex] and number of irons [tex]y[/tex] as follows:
[tex]n=x+y[/tex] ......(2)
From equation (1), substitute [tex]2x+4[/tex] for [tex]y[/tex] in above equation.
[tex]n=x+2x+4\\n=3x+4[/tex]
Since the total equipment contains [tex]75\%[/tex] of irons, it can be written as follows:
[tex]y=0.75n[/tex]
From equation(1) and (2) substitute [tex]2x+4[/tex] for [tex]y[/tex] and [tex]3x+4[/tex] for [tex]n[/tex] in above equation.
[tex]2x+4=0.75(3x+4)\\\Leftrightarrow2x+4=2.25x+\\\Leftrightarrow4-3=2.25x-2x\\\Leftrightarrow1=0.25x\\\Leftrightarrow x=1/0.25\\\Leftrightarrow x=4[/tex]
Substitute 4 for [tex]x[/tex] in equation (1) to obtain the number of irons.
[tex]y=2(4)+4\\y=8+4\\y=12[/tex]
Thus, the number of woods are 4 and number of irons are 12.
Learn more:
1. what is the y-intercept of the quadratic function f(x) = (x – 6)(x – 2)? (0,–6) (0,12) (–8,0) (2,0)
https://brainly.com/question/1332667
2. which is the graph of f(x) = (x – 1)(x + 4)?
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Answer details:
Grade: Middle school.
Subjects: Mathematics.
Chapter: Linear equation.
Keywords: Linear equation, Function, Golf club, woods, y=2x+4, Variable, Middle term split method, Binomial, straight lines, Quadratic, Polynomial, Zeros, Zeros of a function, Expression, Equation, x, -x.
