One half the members of the junior high math team are ninth graders. One fourth of the remaining members are eighth graders. One fifth of the rest are seventh graders. There are twelve 6th graders on the team. How many members on the team?
x/2 = 9th graders, leaving x/2
x/2 * 1/4 = x/8 = 8th graders, leaving x/2*3/4 = 3x/8
1/5 * 3x/8 = 7th graders, leaving 4/5*3x/8=3x/10
3x/10=12 = 6th graders.
So, the team has 40 members.
20 9th graders
5 8th graders
3 7th graders
12 6th graders
To find the total number of members on the team, we will follow the given information step by step.
Let's start with the information given:
- One half of the members are ninth graders.
- One fourth of the remaining members are eighth graders.
- One fifth of the rest are seventh graders.
- There are twelve 6th graders on the team.
Step 1: Find the number of ninth graders.
If one half of the members are ninth graders, we need to find the other half. Since half are ninth graders, the other half will also be ninth graders.
So, the number of ninth graders is (1/2) x Total Number of members.
Step 2: Find the remaining members after excluding the ninth graders.
To find the remaining members, we subtract the number of ninth graders from the total number of members.
Remaining members = Total Number of members - Number of ninth graders.
Step 3: Find the number of eighth graders.
If one fourth of the remaining members are eighth graders, we need to find the remaining members first, and then find 1/4th of them.
Number of eighth graders = (1/4) x Remaining members.
Step 4: Find the remaining members after excluding the eighth graders.
To find the remaining members, we subtract the number of eighth graders from the previously calculated remaining members.
Remaining members = Remaining members - Number of eighth graders.
Step 5: Find the number of seventh graders.
If one fifth of the remaining members are seventh graders, we need to find the remaining members first, and then find 1/5th of them.
Number of seventh graders = (1/5) x Remaining members.
Step 6: Find the total number of members.
To find the total number of members, we add the number of ninth graders, eighth graders, seventh graders, and the twelve 6th graders.
Total Number of members = Number of ninth graders + Number of eighth graders + Number of seventh graders + Number of 6th graders.
By following these steps, we can find the total number of members on the team.