A certain aquarium contains only goldfish and angelfish. If the aquarium contains a total of 75 male fish (of either species), and 60 goldfish (of either sex), then how many male goldfish are there in that aquarium?
>(1) There are 40 angelfish in that aquarium.
>(2) There are 25 female fish in that aquarium.
Correct.
[[snippet]]
Stat.(1) – Add "
There are 40 angelfish in that aquarium" to the table. Put 40 in the Angelfish/Total box. Try to complete rows and columns to find the required quantity.
| Goldfish | Angelfish
| Total |
| Male |
? |
|
75
|
| Female |
|
|
25
|
| Total |
60
|
(1) 40
|
100
|
There is no way you can "reach" the question mark (
?) by completing columns and rows. So
Stat.(1) → IS → BCE.
Stat.(2) – Add "
There are 25 female fish in that aquarium" to the table. Put 25 in the Female/Total box. Try to complete rows and columns to find the required quantity.
| Goldfish | Angelfish
| Total |
| Male |
? |
|
75
|
| Female |
|
|
25
|
| Total |
60
|
40
|
100
|
There is no way you can "reach" the question mark (
?) by completing columns and rows. So
Stat.(2) → IS → CE.
Stat.(1)+(2) combined – Statements (1) and (2) lead to the same table, and so they are equivalent. That means their combination adds nothing to any one of them, so
Stat.(1)+(2) → IS → E.
Incorrect.
[[snippet]]
Stat.(1) – Add "
There are 40 angelfish in that aquarium" to the table. Put 40 in the Angelfish/Total box. Try to complete rows and columns to find the required quantity.
| Goldfish | Angelfish
| Total |
| Male |
? |
|
75
|
| Female |
|
|
25
|
| Total |
60
|
(1) 40
|
100
|
There is no way you can "reach" the question mark (
?) by completing columns and rows. So
Stat.(1) → IS → BCE.
Incorrect.
[[snippet]]
Stat.(2) – Add "
There are 25 female fish in that aquarium" to the table. Put 25 in the Female/Total box. Try to complete rows and columns to find the required quantity.
| Goldfish | Angelfish
| Total |
| Male |
? |
|
75
|
| Female |
|
|
25
|
| Total |
60
|
40
|
100
|
There is no way you can "reach" the question mark (
?) by completing columns and rows. So
Stat.(2) → IS → CE.
Incorrect.
[[snippet]]
Stat.(1) – Add "
There are 40 angelfish in that aquarium" to the table. Put 40 in the Angelfish/Total box. Try to complete rows and columns to find the required quantity.
| Goldfish | Angelfish
| Total |
| Male |
? |
|
75
|
| Female |
|
|
25
|
| Total |
60
|
(1) 40
|
100
|
There is no way you can "reach" the question mark (
?) by completing columns and rows. So
Stat.(1) → IS → BCE.
Stat.(2) – Add "
There are 25 female fish in that aquarium" to the table. Put 25 in the Female/Total box. Try to complete rows and columns to find the required quantity.
| Goldfish | Angelfish
| Total |
| Male |
? |
|
75
|
| Female |
|
|
25
|
| Total |
60
|
40
|
100
|
There is no way you can "reach" the question mark (
?) by completing columns and rows. So
Stat.(2) → IS → CE.
Stat.(1)+(2) combined – Statements (1) and (2) lead to the same table, and so they are equivalent. That means their combination adds nothing to any one of them, so
Stat.(1)+(2) → IS → E.
Incorrect.
[[snippet]]
Stat.(1) – Add "
There are 40 angelfish in that aquarium" to the table. Put 40 in the Angelfish/Total box. Try to complete rows and columns to find the required quantity.
| Goldfish | Angelfish
| Total |
| Male |
? |
|
75
|
| Female |
|
|
25
|
| Total |
60
|
(1) 40
|
100
|
There is no way you can "reach" the question mark (
?) by completing columns and rows. So
Stat.(1) → IS → BCE.
Stat.(2) – Add "
There are 25 female fish in that aquarium" to the table. Put 25 in the Female/Total box. Try to complete rows and columns to find the required quantity.
| Goldfish | Angelfish
| Total |
| Male |
? |
|
75
|
| Female |
|
|
25
|
| Total |
60
|
40
|
100
|
There is no way you can "reach" the question mark (
?) by completing columns and rows. So
Stat.(2) → IS → CE.
Statement (1) ALONE is sufficient, but Statement (2) alone is not sufficient to answer the question asked.
Statement (2) ALONE is sufficient, but Statement (1) alone is not sufficient to answer the question asked.
BOTH Statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
EACH statement ALONE is sufficient to answer the question asked.
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
