Respuesta :
Answer:
Birds = 8
Mice = 6
Step-by-step explanation:
Conditions
Let the birds = x
Let the mice = y
Equations
x + y = 14
2x + 4y = 40
Solution
Using the top equation solve for x
x = 14 - y
Use this result to substitue for x
2(14 - y) + 4y = 40
Remove the brackets
28 - 2y + 4y = 40
Combine
28 + 2y = 40
Subtract 28 from both sides
28 - 28 + 2y = 40 - 28
2y = 12
Divide by 2 on both sides
2y/2 = 12/2
y = 6
Solve for x
x + y = 14
x + 6 = 14
Subtract 6 from both sides
x + 6 - 6 = 14 - 6
x = 8
Answer:
7 mice and 7 birds
Step-by-step explanation:
14 heads would mean there are 14 animals in total, as each animal has one head.
Birds have two legs, and mice have four.
2+4=6
40/6=6.67 (recurring)
6.67*2=13.3 (recurring)
6.67*4=26.67 (recurring)
Animal legs can't be in decimal numbers, so we can round the numbers.
13.3 becomes 13, 26.67 becomes 27.
13+27=40
Now we can see that there are 13 bird legs and 27 mice legs.
Divide the bird legs by 2 to get 6.5
Divide the mice legs by 4 to get 6.75
Again, we can't have a decimal of an animal, so we can round.
6.5 becomes 7, and 6.75 also becomes 7.
Therefore, there is 7 of each type of animal.