Final answer:
After calculating the number of pennies Sam gets by dividing 671 pennies in the ratio 8:3, it was found that Sam gets 488 pennies, which is not one of the provided options, indicating a possible mistake.
Step-by-step explanation:
The question involves solving a problem pertaining to the division of a quantity in a given ratio. In this case, Sam and Amy want to split 671 pennies in the ratio of 8:3.
To do this, we first add the parts of the ratio together (8+3) to get the total number of parts: 11. Then, we divide the total number of pennies by this number to find the value of one part:
671 ÷ 11 = 61
Now, we can find out how many pennies Sam gets by multiplying the value of one part by the number of parts corresponding to Sam:
61 × 8 = 488 pennies
So, Sam gets 488 pennies which is not one of the options provided in the question. It appears there may be a mistake in the question or the options given.