Let's solve the problem step by step.
First, we need to determine the total weight that Marisol can use for the snack packs after accounting for the weight of the board game. The board game weighs 4 lb and the maximum total weight of the package must be less than 25 lb.
To find out how much weight is available for the snack packs, we subtract the board game weight from the maximum package weight:
Available weight for snack packs = Maximum package weight - Board game weight
Available weight for snack packs = 25 lb - 4 lb
Available weight for snack packs = 21 lb
Now, we know that each snack pack weighs 14 lb. We need to find out how many snack packs Marisol can include in the package without exceeding the available weight of 21 lb.
To do this, we divide the available weight for the snack packs by the weight of one snack pack:
Number of snack packs Marisol can send = Available weight for snack packs / Snack pack weight
Number of snack packs Marisol can send = 21 lb / 14 lb
Number of snack packs Marisol can send = 1.5
Since Marisol cannot send a fraction of a snack pack, we can only consider the whole number part of the result. This means Marisol can send 1 snack pack without exceeding the weight limit.
Now, let's examine the statements given to determine which one is correct:
1) Marisol must send fewer than 21 snack packs.
Since Marisol can only send 1 snack pack due to the weight restrictions, this statement is true. However, the statement may be somewhat misleading since it implies the possibility of sending close to 21 packs, which is far from the actual maximum.
2) Marisol must send exactly 21 snack packs.
This statement is false because sending 21 snack packs would greatly exceed the weight limit.
3) Marisol can send any number of snack packs.
This statement is false. She is limited by the total weight constraint of the care package, so she cannot send any number of snack packs.
4) Marisol cannot send any snack packs.
This statement is false. Based on our calculation, Marisol can send 1 snack pack without exceeding the weight limit.
The correct statement, considering the context and the most reasonable interpretation of the provided information, is that Marisol must send fewer than 21 snack packs (Statement 1), understanding that she can actually send only 1 snack pack based on the weight restrictions.