Question

старуха шапокляк поймала за 5 дней 162 майских жука.каждый день ,начиная со второго, она ловила в 2 раза меньше жуков, чем за все предыдущие дни вместе. сколько жуков она поймала в первый день?

Answer 1

а- первый день

б-  второй

в-третий

г-четвёртый

д- пятый

 а+б+в+г+д=162 следовательно (16а+8а+12а+18а+27а)/16=162 отсюда 81а=16*162,

тогда а=16*162/81=32. Она поймала в первый день 32 жука.

Answer 2

Calculation of the Number of Beetles Caught by the Old Woman

To calculate the number of beetles caught by the old woman on the first day, we need to analyze the information provided.

According to the given information: - The old woman caught a total of 162 May beetles over a period of 5 days. - Starting from the second day, she caught half the number of beetles compared to the sum of all the previous days.

Let's break down the information day by day:

- On the first day, the old woman caught x beetles. - On the second day, she caught half the number of beetles compared to the sum of all the previous days. This means she caught x/2 beetles on the second day. - On the third day, she caught half the number of beetles compared to the sum of all the previous days. This means she caught (x + x/2)/2 beetles on the third day. - On the fourth day, she caught half the number of beetles compared to the sum of all the previous days. This means she caught ((x + x/2)/2)/2 beetles on the fourth day. - On the fifth day, she caught half the number of beetles compared to the sum of all the previous days. This means she caught (((x + x/2)/2)/2)/2 beetles on the fifth day.

To find the value of x, we need to solve the equation:

x + x/2 + (x + x/2)/2 + ((x + x/2)/2)/2 + (((x + x/2)/2)/2)/2 = 162

Simplifying the equation, we get:

x + x/2 + x/4 + x/8 + x/16 = 162

To solve this equation, we can multiply both sides by 16 to eliminate the fractions:

16x + 8x + 4x + 2x + x = 2592

Simplifying further, we get:

31x = 2592

Dividing both sides by 31, we find:

x = 83.87

Since we cannot have a fraction of a beetle, we can round down to the nearest whole number. Therefore, the old woman caught approximately 83 beetles on the first day.

Please note that this calculation assumes that the old woman caught a whole number of beetles each day, and the given information is accurate.

Answer:

The old woman caught approximately 83 beetles on the first day.