Question

На одной клумбе распустилось 15 тюльпанов, а на другой - 20. Для букета срезали 17 тюльпанов. Сколько тюльпанов осталось на двух этих клумбах? Реши задачу сначало одним способом, а затем для проверки - другим. Каким числом надо заменить число 15, чтобы задачу можно было решить другим способом?

Answer 1

(15+20)-17=18(1 способ)

20-(17-15)=18(2 способ)

20+15=35

35-17=18(3 способ)

 

 

Answer 2

1 способ

15+20=35 тюльпанов было.

35-17=18

Answer 3

Problem Analysis

We have two flower beds, one with 15 tulips and the other with 20 tulips. We need to determine how many tulips are left on the two flower beds after cutting 17 tulips for a bouquet.

To solve this problem, we can use two different approaches. First, we can subtract the number of tulips cut from the total number of tulips on each flower bed. Second, we can subtract the number of tulips cut from the total number of tulips on both flower beds combined.

Let's solve the problem using both approaches.

Approach 1: Subtracting the number of tulips cut from each flower bed

To find the number of tulips left on each flower bed, we subtract the number of tulips cut from the total number of tulips on each flower bed.

On the first flower bed with 15 tulips, we cut 17 tulips for the bouquet. Therefore, the number of tulips left on the first flower bed is 15 - 17 = -2. However, we cannot have a negative number of tulips, so we consider the number of tulips left on the first flower bed as 0.

On the second flower bed with 20 tulips, we also cut 17 tulips for the bouquet. Therefore, the number of tulips left on the second flower bed is 20 - 17 = 3.

So, after cutting 17 tulips, there are 0 tulips left on the first flower bed and 3 tulips left on the second flower bed.

Approach 2: Subtracting the number of tulips cut from the total number of tulips on both flower beds combined

To find the number of tulips left on both flower beds combined, we subtract the number of tulips cut from the total number of tulips on both flower beds.

The total number of tulips on both flower beds is 15 + 20 = 35.

We cut 17 tulips for the bouquet. Therefore, the number of tulips left on both flower beds combined is 35 - 17 = 18.

So, after cutting 17 tulips, there are 18 tulips left on both flower beds combined.

Verification

To verify the solution, we can substitute the number of tulips on the first flower bed with a different number and check if the two approaches give the same result.

Let's substitute the number 15 with another number, say x.

Using the first approach, the number of tulips left on the first flower bed would be x - 17.

Using the second approach, the number of tulips left on both flower beds combined would be (x + 20) - 17.

To make the two approaches give the same result, we need to find the value of x that satisfies the equation (x - 17) = ((x + 20) - 17).

Simplifying the equation, we get x - 17 = x + 3.

Solving for x, we find x = -20.

Therefore, if we replace the number 15 with -20, the two approaches will give the same result.

Conclusion

After cutting 17 tulips, there are 0 tulips left on the first flower bed and 3 tulips left on the second flower bed. Alternatively, there are 18 tulips left on both flower beds combined.

To solve the problem using a different number, we can replace the number 15 with -20.