Question
Tyrell makes a table to show who in his class is wearing lace-up shoes and who is wearing slip-ons. There are 17 girls and 15 boys in all. There are 8 boys wearing lace-up shoes and 12 girls wearing slip-on shoes. Which table correctly shows the data?
A 4-column table with 3 rows. Column 1 has entries girls, boys, total. Column 2 is labeled lace-up with entries 3, 8, 11. Column 3 is labeled Slip-on with entries 12, 9, 21. Column 4 is labeled Total with entries 15, 17, blank.
A 4-column table with 3 rows. Column 1 has entries girls, boys, total. Column 2 is labeled lace-up with entries 5, 8, 13. Column 3 is labeled Slip-on with entries 12, 7, 19. Column 4 is labeled Total with entries 17, 15, blank.
A 4-column table with 3 rows. Column 1 has entries girls, boys, total. Column 2 is labeled lace-up with entries 3, 12, 15. Column 3 is labeled Slip-on with entries 8, 9, 17. Column 4 is labeled Total with entries 11, 21, blank.
A 4-column table with 3 rows. Column 1 has entries girls, boys, total. Column 2 is labeled lace-up with entries 9, 8, 17. Column 3 is labeled Slip-on with entries 12, 3, 15. Column 4 is labeled Total with entries 21, 11, blank.
A 4-column table with 3 rows. Column 1 has entries girls, boys, total. Column 2 is labeled lace-up with entries 3, 8, 11. Column 3 is labeled Slip-on with entries 12, 9, 21. Column 4 is labeled Total with entries 15, 17, blank.
A 4-column table with 3 rows. Column 1 has entries girls, boys, total. Column 2 is labeled lace-up with entries 5, 8, 13. Column 3 is labeled Slip-on with entries 12, 7, 19. Column 4 is labeled Total with entries 17, 15, blank.
A 4-column table with 3 rows. Column 1 has entries girls, boys, total. Column 2 is labeled lace-up with entries 3, 12, 15. Column 3 is labeled Slip-on with entries 8, 9, 17. Column 4 is labeled Total with entries 11, 21, blank.
A 4-column table with 3 rows. Column 1 has entries girls, boys, total. Column 2 is labeled lace-up with entries 9, 8, 17. Column 3 is labeled Slip-on with entries 12, 3, 15. Column 4 is labeled Total with entries 21, 11, blank.
Answers
GPT-4o mini
To determine the correct table showing the shoe data for Tyrell's class, we will analyze the given information:
- Total students: 17 girls + 15 boys = 32 students
- Boys wearing lace-up shoes: 8 boys
- We need to find out how many boys are wearing slip-on shoes:
- Total boys = 15
- If 8 boys are wearing lace-up shoes, then:
- Boys wearing slip-on shoes = 15 - 8 = 7 boys
- Total girls: 17 girls
- Girls wearing slip-on shoes: 12 girls
- We need to find out how many girls are wearing lace-up shoes:
- Total girls = 17
- If 12 girls are wearing slip-on shoes, then:
- Girls wearing lace-up shoes = 17 - 12 = 5 girls
Now, we summarize the information:
- Girls wearing lace-up shoes: 5
- Boys wearing lace-up shoes: 8
- Girls wearing slip-on shoes: 12
- Boys wearing slip-on shoes: 7
Now we can create the complete table:
| | Lace-up | Slip-on | Total |
|--------|---------|---------|-------|
| Girls | 5 | 12 | 17 |
| Boys | 8 | 7 | 15 |
| Total | 13 | 19 | 32 |
Now, we can check the provided options against this data.
1. The first table has:
- Girls: 3 lace-up, 12 slip-on (incorrect).
2. The second table has:
- Girls: 5 lace-up, 12 slip-on (correct),
- Boys: 8 lace-up, 7 slip-on (also correct),
- Totals: adds up correctly too.
3. The third table has:
- Girls: 3 lace-up, which is incorrect.
4. The fourth table has:
- Boys: 3 slip-on, which is incorrect.
So the only table that correctly represents the data is:
**A 4-column table with 3 rows. Column 1 has entries girls, boys, total. Column 2 is labeled lace-up with entries 5, 8, 13. Column 3 is labeled Slip-on with entries 12, 7, 19. Column 4 is labeled Total with entries 17, 15, 32.**
Thus, the second table is the correct option.
- Total students: 17 girls + 15 boys = 32 students
- Boys wearing lace-up shoes: 8 boys
- We need to find out how many boys are wearing slip-on shoes:
- Total boys = 15
- If 8 boys are wearing lace-up shoes, then:
- Boys wearing slip-on shoes = 15 - 8 = 7 boys
- Total girls: 17 girls
- Girls wearing slip-on shoes: 12 girls
- We need to find out how many girls are wearing lace-up shoes:
- Total girls = 17
- If 12 girls are wearing slip-on shoes, then:
- Girls wearing lace-up shoes = 17 - 12 = 5 girls
Now, we summarize the information:
- Girls wearing lace-up shoes: 5
- Boys wearing lace-up shoes: 8
- Girls wearing slip-on shoes: 12
- Boys wearing slip-on shoes: 7
Now we can create the complete table:
| | Lace-up | Slip-on | Total |
|--------|---------|---------|-------|
| Girls | 5 | 12 | 17 |
| Boys | 8 | 7 | 15 |
| Total | 13 | 19 | 32 |
Now, we can check the provided options against this data.
1. The first table has:
- Girls: 3 lace-up, 12 slip-on (incorrect).
2. The second table has:
- Girls: 5 lace-up, 12 slip-on (correct),
- Boys: 8 lace-up, 7 slip-on (also correct),
- Totals: adds up correctly too.
3. The third table has:
- Girls: 3 lace-up, which is incorrect.
4. The fourth table has:
- Boys: 3 slip-on, which is incorrect.
So the only table that correctly represents the data is:
**A 4-column table with 3 rows. Column 1 has entries girls, boys, total. Column 2 is labeled lace-up with entries 5, 8, 13. Column 3 is labeled Slip-on with entries 12, 7, 19. Column 4 is labeled Total with entries 17, 15, 32.**
Thus, the second table is the correct option.