The ratio of 7th to 8th graders in a play is 2:3. There are 30 students in the play. How many are 8th graders?
S/30 x2/3=3s/3=60/3= 20 8th graders. Can someone check this for me if wrong tell were.
number of 7th graders ---- 2x
number of 8th graders ---- 3x
(note 2x : 3x = 2:3)
2x + 3x = 30
x = 6
so we have 12 seven graders and 18 eight graders
check: 12+18 = 30
12 : 18 = 2:3
this is wrong, because the ratio of 7th to 8th is 2:3. this suggests that for every 2 7th graders, there are 3 8th graders. basically, you did the match right, you just flipped the ratios
the math* NOT MATCH
To solve this problem, we can start by understanding the given information. The ratio of 7th graders to 8th graders in the play is 2:3.
Let's assume the number of 7th graders is 2x, and the number of 8th graders is 3x, where 'x' is a constant.
According to the problem, the sum of these two numbers is 30. So we can write the equation:
2x + 3x = 30
Simplifying the equation gives:
5x = 30
To solve for 'x,' divide both sides of the equation by 5:
x = 30 ÷ 5
x = 6
Now that we know the value of 'x,' we can find the number of 8th graders by substituting 'x' into the equation:
3x = 3 * 6
3x = 18
Hence, there are 18 8th graders in the play, not 20.