Question

Было отремонтировано 29 о\о всех станков цеха. После чего осталось отремонтировать 142 станка.Сколько станков в цехе? У 2 сестёр было денег поровну.Старшая потратила 9\16 своих денег, а младшая 8\15. У кого из них осталось меньше денег?

Answer 1

100-29=71%-приходится  на 142станка
142:0,71=200 станков в цехе
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приведем к общему знаменателю

9/16=135/240 потратила старшая
8/15=128/240 потратила младшая
135/240>128/240
значит старшая потратила больше и осталось у нее меньше денег

Answer 2

Calculation of the Number of Machines in the Workshop

To determine the number of machines in the workshop, we can use the information provided. It states that 29 out of all the machines in the workshop have been repaired, leaving 142 machines to be repaired.

Let's denote the total number of machines in the workshop as 'x'. According to the given information, we can set up the following equation:

29 + 142 = x

Simplifying the equation, we find that the total number of machines in the workshop is 171.

Comparison of Money Remaining for the Two Sisters

The second part of the question involves two sisters who have an equal amount of money. The older sister spends 9/16 of her money, while the younger sister spends 8/15 of her money. We need to determine which sister has less money remaining.

To compare the money remaining for the two sisters, we can calculate the fraction of money each sister has left after spending their respective amounts.

Let's assume the initial amount of money for both sisters is 'm'.

The older sister spends 9/16 of her money, which means she has (1 - 9/16) = 7/16 of her money remaining.

The younger sister spends 8/15 of her money, which means she has (1 - 8/15) = 7/15 of her money remaining.

To compare the money remaining, we need to find the smaller fraction between 7/16 and 7/15.

To simplify the comparison, we can convert both fractions to have a common denominator of 240:

7/16 = (7/16) * (15/15) = 105/240

7/15 = (7/15) * (16/16) = 112/240

Comparing the fractions, we can see that the older sister has less money remaining since 105/240 is smaller than 112/240.

Therefore, the older sister has less money remaining than the younger sister.