A group of students surveyed chose baseball and soccer as their favorite sport in the ratio 3 to 8 if 56 students chose soccer as their favorite sport find the number of students that shows baseball is the favorite sport 132 students were surveyed
21
You probably can just do 132-56.
3 x do baseball
8 x do soccer
so
8 x = 56
x = 7 so 3*7 = 21 do baseball
The rest makes no sense to me. I do not know what the rest of the 1322 students said.
let number of students choosing soccer be 8x,
and the number of students choosing baseball be 3x
8x = 56
x = 7
so students choosing soccer is 56
students choosing baseball is 21
note: 56+21 =77, so as was noted, how does the 132 enter the picture
To find the number of students who chose baseball as their favorite sport, we need to determine the ratio of baseball to soccer and then calculate the corresponding number of students.
Given that the ratio of baseball to soccer is 3 to 8, we can consider it as 3x to 8x, where x is a common multiplier.
Since we know that 56 students chose soccer as their favorite sport, we can set up an equation:
8x = 56
To solve for x, divide both sides of the equation by 8:
8x / 8 = 56 / 8
x = 7
Now that we have the value of x, we can substitute it back into the ratio to find the number of students who chose baseball as their favorite sport:
3x = 3 * 7 = 21
Therefore, 21 students chose baseball as their favorite sport.