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Solution: If there are x turtles, then there are (40-x) cranes.
4x+2(40-x)=112
4x+80-2x=112
2x=32x=16
So there are 16 turtles and 24 cranes.
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112 legs Turtles and cranes and a total of 40 cranes have two legs Lose two legs from all animals.
So that's all that's left for the turtle's legs.
Now each turtle has two legs left.
The turtle is 32 2 = 16 turtles.
40-16 = 24 cranes.
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40 2 80 112-80 32 turtles 32 2 16 cranes 40-16 24.
There are 16 turtles and 24 cranes.
Hope it helps.
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The turtle has 4 legs, the crane has 2 legs, and the turtle x and the crane 40-x give 4x+2(40-x)=112
4x+80-2x=112
2x=32x=16pcs.
There are 16 turtles and 40-16 = 24 cranes.
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40 2 80 112-80 32 turtles 32 2 16 cranes 40-16 24.
There are 16 turtles and 24 cranes.
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40 2 80 (only).
112-80) (4-2) 16 (only).
24-16 24 (only).
A: There are 16 turtles and 24 cranes.
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With the foot lift method, you won't and can't help it.
112 2 = 56 (only) Number of turtles: 56-40 = 16 (only) Number of cranes: 40-16 = 24 (only).
Will use it to give me a good review!
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There are 40 turtles and cranes, and there are 112 turtle legs and crane legs. How many turtles and cranes are there?
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Solution: There are x turtles.
40—x)×4+2x=112
160-4x+2x=112
160-6x=112
6x=160-112
x=840-8=32 (only).
Then there are 8 turtles and 32 cranes.
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Solution: There are x turtles.
40—x)×4+2x=112
160-4x+2x=112
160-6x=112
6x=160-112
6x=48x=8
40-8=32 (only).
A: There are 8 turtles and 32 cranes.
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Let there be x turtles and y cranes, and the equation is: x+y=40,4
x+2y=112, solution: x=16, y=24
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There are 16 turtles and 24 cranes. Analysis: Use the leg lifting method to solve the problem, let the turtle and the crane lift two feet at the same time, so that the total number of feet in the cage is reduced by 2, because the crane only has 2 feet, so there are only two feet left in the cage, and then 2 is the number of turtles.
Formula: (Total number of feet - Total number of heads Number of legs of crane) (Number of feet of turtle - Number of legs of crane) = Number of turtles Equation: (112 40 2) 2 = 16 (number of turtles) Answer:
The number of turtles is 16, and the number of cranes is 40-16 = 24. Extended data solution: Let the number of turtles be x and the number of cranes be (40-x).
Column equation: 4x+2(40-x)=112 without parentheses, gets: 4x+80-2x=112 shifts, gets:
4x-2x=112-80 is combined, and the coefficient of 2x=32 is 1, x=16A: The number of turtles is 16, and the number of cranes is 40-16=24.
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Assuming that both the turtle and the crane have four legs, then the total number of legs should be 40 4 = 160, but in fact the number of legs is only 112, because the crane only has two legs, so the number of cranes is.
So the number of turtles is 40-24=16
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The steps to solve the hypothetical method are:
Assuming that all are cranes, then there are 40x2=80 (strip) legs, which is 112-80=32 (strips) less than the actual one, because the 4-legged turtle is counted as 2, a turtle has a few 2 legs, and a few 2 are missing.
32 (4-2)=16 (only).
There are 40-16 = 24 cranes
Of course, it can also be assumed that all of them are turtles.
Then there are 40x4 = 160 (strip) legs, which is 160-112 = 48 (strip) legs more than the actual one, because the 2-legged crane is counted as 4, a crane has more than 2 legs, and a few 2 have a few cranes, and the equation is.
48 (4-2)=24 (only).
There are 40-24 = 16 turtles
I'm a math teacher, and I've just finished talking about this, and I'm right, there are actually several other solutions, such as the list method, the leg lift method, the equation method, etc.
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There are 40 turtles and cranes, and there are 112 turtle legs and crane legs. How many turtles and cranes are there?
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Solution: Suppose there are x turtles and (40-x) cranes.
4x+2(40-x)=112
4x+80-2x=112
2x=32x=16
40-x=40-16=24
A: There are 16 turtles and 24 cranes.
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There are 16 turtles and 24 cranes.
Solution: There are x turtles.
Since there are 40 turtles and cranes in total, then there are (40-x) cranes.
According to the meaning of the problem, the equation can be listed as, 4*x+2*(40-x)=112, and 2x=32
x = 16 then (40-x) = 40-16 = 24, i.e. there are 16 turtles and 24 cranes.
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There are 16 turtles and 24 cranes.
Solution: There are x turtles.
Since there are 40 turtles and cranes in total, then there are (40-x) cranes.
According to the meaning of the problem, the equation can be listed as, 4*x+2*(40-x)=112, and 2x=32
x = 16 then (40-x) = 40-16 = 24, i.e. there are 16 turtles and 24 cranes.
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There are 40 turtles and cranes, and there are 112 turtle legs and crane legs. How many turtles and cranes are there?
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Solution: Set turtles x cranes.
x+y=40
4x+2y=112
Solution: {y=29.}
x=11A: There are 11 turtles and 29 cranes.
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Let all of them be cranes, then.
Turtle = (112-40x2) 2 = 32 2 = 16 pcs.
Cranes = 40-16 = 24 individuals.
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There are 40 turtles and cranes, and there are 112 turtle legs and crane legs. How many turtles and cranes are there?
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There are x turtles and y cranes.
Then there are 2 4x+2y=112
4x is because the turtle has 4 legs and the crane has 2 legs, so it is 2y) according to the formula x=16 y=24 so there are 16 turtles and 24 cranes.
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Suppose both the turtle and the crane have 4 legs.
Cranes: 160 112) 2=24.
There are 40-24 = 16 turtles
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There are 40 turtles and cranes, and there are 112 turtle legs and crane legs. There are several turtles each.
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There are 40 turtles and cranes, and there are 112 turtle legs and crane legs. How many turtles and cranes are there?
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There are 40 turtles and cranes, and there are 112 turtle legs and crane legs. How many turtles and cranes are there?
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112-40x2=32 are counted as two legs, the number of more legs.
32 divided by 2 = 16 number of turtles.
16 turtles, 24 cranes.
In the second equation, let the crane have x and the turtle have y.
2x+4y=112
x+y=40
x=16y=24
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This can be solved simply with an equation:
Solution: Let the turtle have x and the crane have y, according to the title:
x+y=40;
4x+2y=112
Solve the equation to obtain: x=16, y=24
A: There are 16 turtles and 24 cranes.
This is the solution step, if you don't learn the equation, you can think like this, if all the turtles have 160 legs, 48 more than the actual one, it means that the number of legs of the crane is more, that is, 24 cranes, then there are 16 turtles.
Hope it helps.
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It should be that there are 16 turtles and 24 cranes.
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