The following table indicates the number of students studying in three subjects in four colleges. What is the ratio of the total number of students studying in Physics to that of studying in Mathematics in all four colleges taken together?

| Subjects | Colleges |
|--------------|---------------------|
| | W | X | Y | Z |
| Physics | 420 | 435 | 412 | 285 |
| Chemistry | 380 | 340 | 315 | 420 |
| Mathematics | 256 | 310 | 295 | 345 |

Question

The following table indicates the number of students studying in three subjects in four colleges. What is the ratio of the total number of students studying in Physics to that of studying in Mathematics in all four colleges taken together?

| Subjects     | Colleges             |
|--------------|---------------------|
|              | W    | X   | Y   | Z  |
| Physics     | 420 | 435 | 412 | 285 |
| Chemistry | 380 | 340 | 315 | 420 |
| Mathematics | 256 | 310 | 295 | 345 |

Accepted Answer

Step 1: Calculate the total number of students studying Physics in all four colleges.
Physics total = 420 + 435 + 412 + 285 = 1552

Step 2: Calculate the total number of students studying Mathematics in all four colleges.
Mathematics total = 256 + 310 + 295 + 345 = 1206

Step 3: Find the ratio of Physics to Mathematics students.
Ratio = 1552 : 1206

Step 4: Simplify the ratio by dividing both terms by their greatest common divisor (GCD).
GCD of 1552 and 1206 is 2.

Simplified ratio = (1552 ÷ 2) : (1206 ÷ 2) = 776 : 603

Therefore, the correct ratio is 776 : 603.

Answer

Answer

Answer