Question

В театральной студии занимаются ученики пятого и шестого классов. Отношение числа пятиклассников к числу шестиклассников равно 1:3. б) На сколько в студии больше шестиклассников, чем пятиклассников, если всего в ней 36 учеников? в) Сколько всего учеников занимается в студии, если шестиклассников на 16 больше, чем пятиклассников?

Answer 1

3-1=2 части больше шестиклассников

16:2=8 учеников в одной части

8*1=8 пятиклассников

8*3=24 шестиклассника

8+24=32 ученика занимаются в студии

Answer 2

Calculating the Number of Students in the Theater Studio

To calculate the number of students in the theater studio and the difference between the number of fifth and sixth graders, we can use the given information and apply basic arithmetic.

Given Information

- Students from the fifth and sixth grades are involved in the theater studio. - The ratio of the number of fifth graders to the number of sixth graders is 1:3. - The total number of students in the studio is 36. - The number of sixth graders is 16 more than the number of fifth graders.

Calculations

a) Finding the Number of Fifth and Sixth Graders Let's denote the number of fifth graders as *x* and the number of sixth graders as *3x* (based on the 1:3 ratio). We can set up the equation: *x + 3x = 36* to find the total number of students.

b) Finding the Difference in Numbers The difference between the number of sixth graders and fifth graders can be calculated as *3x - x*.

c) Finding the Total Number of Students The total number of students can be calculated as *x + (3x + 16)*, where *3x + 16* represents the number of sixth graders.

Let's proceed with the calculations based on the given information.

Calculations Based on Given Information

a) Finding the Number of Fifth and Sixth Graders The total number of students in the studio is 36. Using this information, we can calculate the number of fifth and sixth graders.

36 = x + 3x 36 = 4x x = 9

So, the number of fifth graders is 9, and the number of sixth graders is 27.

b) Finding the Difference in Numbers The difference between the number of sixth graders and fifth graders is: 27 - 9 = 18

So, there are 18 more sixth graders than fifth graders in the studio.

c) Finding the Total Number of Students The total number of students can be calculated as: 9 + (27) = 36

So, there are 36 students in total in the theater studio.

Therefore, based on the given information, there are 9 fifth graders, 27 sixth graders, and a total of 36 students in the theater studio.