Question

В марафонском пробеге учавствовало 450 мальчиков и девочек. 4/5 части участников были мальчики.Половина девочек и 1/3 часть мальчиков отстала.Сколько участников дошли до финиша.

Answer 1

Ответ:

285 участников дошли до финиша

Пошаговое объяснение:

1) 450 : 5 х 4 = 360 мальчиков участвовало

2) 450 - 360 = 90 девочек участвовало

3) 90 : 2 - 45 девочек отстали

4) 360 : 3 =  120 мальчиков отстали

5) 120 + 45 = 165 ребят не дошли до финиша

6) 450 - 165 = 285 участников дошли до финиша

Answer 2

Calculation of the Number of Participants

To determine the number of participants who reached the finish line, we need to analyze the given information step by step.

1. The total number of participants in the marathon is 450, consisting of both boys and girls. 2. 4/5 of the participants were boys. This means that 1/5 of the participants were girls. 3. Half of the girls and 1/3 of the boys fell behind.

Let's calculate the number of participants who reached the finish line:

1. Boys: Since 4/5 of the participants were boys, we can calculate the number of boys as follows: - Number of boys = 4/5 * 450 = 360 boys

2. Girls: Since 1/5 of the participants were girls, we can calculate the number of girls as follows: - Number of girls = 1/5 * 450 = 90 girls

3. Half of the girls fell behind, which means that 1/2 of the girls did not reach the finish line: - Number of girls who did not reach the finish line = 1/2 * 90 = 45 girls

4. 1/3 of the boys fell behind, which means that 2/3 of the boys reached the finish line: - Number of boys who reached the finish line = 2/3 * 360 = 240 boys

5. Finally, we can calculate the total number of participants who reached the finish line by adding the number of boys and girls who reached the finish line: - Total number of participants who reached the finish line = Number of boys who reached the finish line + Number of girls who reached the finish line - Total number of participants who reached the finish line = 240 boys + (90 girls - 45 girls) = 240 boys + 45 girls = 285 participants

Therefore, 285 participants reached the finish line.