Question

1 point

1. Mr. Smith visited the park one sunny afternoon. He noticed that only
dogs and people were in the park that day. While he was resting on a park
bench, he observed that there were 15 heads and 50 legs in the park.
Which pair of system of equations can be used to determine the number
of dogs and the number of people in the park that day (use x = # of people;
y = # of dogs)?
x + y = 50: 2x + 4y = 15
x + y = 15, 4x + 2y = 50
X + y = 15:2x + 4y = 50
x + y = 50; 4x + 2y = 15

Answer 1

x+y=15 ; 2x+4y=50

Explanation:

Let x be the number of people

Let y be the number of dogs.

Equation regarding Total Heads:

Total number of heads = 15

As

1 person has 1 head

1 dog has 1 head

Total no. of heads of people = 1 * x = x

Total number of heads of dogs = 1*y = y

Equation becomes:

x+y=15

Equation regarding Total Legs:

Total number of legs = 50

As

1 person has 2 legs

1 dog has 4 legs

Total no. of legs of people = 2 * x = 2x

Total number of legs of dogs = 4*y = 4y

Equation becomes:

2x+4y=50