Final answer:
The correct number of boys in the school, based on a 3:2 ratio with 420 girls, is calculated to be 630. This answer doesn't match any of the provided options, indicating a potential error in the question or answer choices.
Step-by-step explanation:
To find how many boys are in the school, we can use the ratio of boys to girls given as 3:2. This means that for every 3 boys, there are 2 girls. If there are 420 girls, we can set up a proportion to find the number of boys:
Boys/Girls = 3/2
Let the number of boys be x.
x/420 = 3/2
Now, cross multiply to solve for x:
2x = 3 × 420
2x = 1260
x = 1260 / 2
x = 630
Therefore, there are 630 boys in the school, which is not one of the options provided, indicating either a mistake in the answer choices or the initial information. It's important to ensure the question has been copied correctly and that the options reflect the correct calculation. Assuming they are, none of the choices a. 252, b. 168, c. 210, or d. 140 match the calculated number of boys.