7th graders 24
8th graders 35
Totals 52
Construct the two-way table to determine the total number of eighth graders.
(1 point)
Responses
28
28
59
59
35
35
63
Q1. 63
Q2. 106
Q3. 135
Q4. 93
Q5. 125
@I got you bro is 100 percent accurate. Although I will provide an explanation as to how he got the answer 106, so if any of you are struggling with this kind of stuff, this might help. Here is how question #2 was structured. LONG PARAGRAPH! but it explains everything clearly!
_________lPIZZA l TACOS l Chicken l TOTAL!
7th graders l 24 l_______l________l__120_l
8th graders l ____,l__35___l___45___l______l
Total l l 52 l_______l___71___l______l
(Pizza) Now, here is how the table works: You are able to use deductive reasoning to figure out what the missing pieces are. Do not let this stress you out. Knowing this is math, a lot of people get stressed, thinking that it is hard just because it is math. That is not the case. If you go into this with an open mind, you'll find you'll do so much better. Two-way tables are just a fancy way of saying "puzzle." That is all this is; it is a form of puzzle, which takes a little time to think about. Now, we see that 24 7th graders love pizza, whereas the 8th graders response has been hidden. Now, we must find the piece to this puzzle, which is the 8th grader's response to the question if they liked pizza. Knowing that a total of 52 students had pizza, we know that there is an answer. We know that the 7th graders had eaten 24 slices, and we do not have the 8th graders response publicly known. So we now must subtract 24 from 54, which gives us our puzzle piece! 52-24=28. 28 8th graders had pizza!
(Tacos-Chicken) Next up is to find the missing puzzle piece in the second column, Tacos. We see that we only have the 8th grade response, yet there is no other clear evidence to tell us to find out how many students liked tacos. What we now must do is look for clues in other columns. We know that in column 4, we have a total of how many 7th graders have been polled. The total of 7th graders was 120. We now know that, since we were given a number of 7th graders who liked pizza, we have 24 out of 120 kids. 120-24=96. So we know that there were 120 7th grade students polled; we already knew that 24 of them liked pizza, but we were unsure how many 7th grade students liked chicken and tacos. So we decided to separate the 24 7th graders from the 7th graders who had liked chicken and tacos. Again, 24-129=96. Now we know that 96 students chose tacos, or chicken, over pizza. 96 students either liked tacos or chicken, so we must split this 96 accurately among the groups: chicken and tacos. How will we do that, you may ask? We must find clues throughout the table, or puzzle, as I like to call it. We know that according to the puzzle, 46 8th graders liked chicken, and that the total number of students who liked chicken was 71. Since we are unsure how many 7th graders like chicken, we must use our knowledge to figure out the missing piece for the chicken. 71-46=25. Now we know that 25 7th graders loved chicken. WHAT? We know we have two groups of 7th graders figured out! 24 students liked pizza, and 25 7th graders liked chicken! We now have two groups figured out! Pizza, and chicken. Now that we have these two groups figured out, we can subtract to figure out the remaining group of students who like tacos in the 7th grade! 24+25=49. 120-49=71. That's it! 71 7th graders loved tacos! Now that we have figured that out, we must add to see the total number of students from each grade who loved tacos. 35 8th graders liked tacos, and 71 7th graders liked tacos as well. When we add 79+35, we get 106 students from both grades who loved tacos! This is now the finished puzzle.
_________lPIZZA l TACOS l Chicken l TOTAL!
7th graders l 24 l__71___l___25___l__120_l
8th graders l 28 _,l__35___l___46___l__109__l
Total l l 52 l__106___l___71___l_229__l
"I got you bro" is correct.
1. D - 63
2. B - 106
3. B - 135
4. A - 93
5. A - 125
The correct answer is 35.
Here is the two-way table:
| 7th graders | 8th graders | Totals
----------------------------------------
Number | 24 | 35 | 59
----------------------------------------
Total | 24 | 35 | 52
To determine the total number of eighth graders, we need to look at the number provided for the 8th graders in the two-way table.
Therefore, the answer is:
Q1. 35
Q2. There is no relevance to the new numbers given for Q2, Q3, Q4, Q5 as they were not part of the original question.