One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196
legs. How many humans and horses were there?
A.
37 humans and 98 horses
B.
24 horses and 50 humans
C.
31 horses and 74 humans
D.
24 humans and 50 horses
A.
37 humans and 98 horses
B.
24 horses and 50 humans
C.
31 horses and 74 humans
D.
24 humans and 50 horses
1 answer:
Answer:
Option B. 24 horses and 50 humans
Step-by-step explanation:
Let
x ----> the number of humans
y ----> the number of horses
Remember that
A human has one head and two legs
A horse has one head and four legs
so
----> equation A
-----> equation B
Solve the system by graphing
The solution of the system is the intersection point both graphs
The solution is the point (50,24)
see the attached figure
therefore
The number of humans is 50 and the number of horses is 24
You might be interested in
Answer:
Step-by-step explanation:
Hello There!
Remember: sum of interior angles of a triangle = 180
so to find x we use this equation
180 = 90 + 7x + 5 + 9x + 5 ( the little square in the triangle indicates that the angle is a right angle. right angles have a measure of 90 so that's where the 90 came from.)
now we solve for x
step 1 combine like terms
90 + 5 + 5 = 100
7x + 9x = 16x
now we have 180 = 16x + 100
step 2 subtract 100 from each side
180 - 100 = 80
100 - 100 cancels out
now we have 80 = 16x
step 3 divide each side by 16
80/16 = 5
16x/16=x
we're left with x = 5
Finally we plug in 5 into x for angle a
7(5)+5
7*5=35
35+5=40
so we can conclude that the measure of angle A is 40 degrees