Answer :
The correct equations are: c. 186 - n = 150 and f. 150 + n = 186.
Let's analyze the situation:
Aaron initially had 150 cards in his collection.
His friend gave him n additional cards.
Now, Aaron has a total of 186 cards in his collection.
Based on this information, let's see which equations correctly represent the situation:
a. n - 186 = 150 : This equation doesn't make sense because it implies that Aaron has 150 cards after his friend gave him n cards.
b. 150 + 186 = n : This equation doesn't make sense either because it results in a value for n that is much larger than 186.
c. 186 - n = 150: This equation seems to correctly represent the situation. It implies that after Aaron's friend gave him n cards, he has 150 cards left over from his original collection.
d. n + 186 = 150: This equation doesn't make sense because it implies that Aaron has only 150 cards after his friend gave him n cards.
e. 186 - 150 = n: This equation doesn't make sense either because it results in a value for n that is much smaller than 186.
f. 150 + n = 186: This equation seems to correctly represent the situation. It implies that Aaron starts with 150 cards and then adds n cards from his friend, resulting in a total of 186 cards.
So, the correct equations are: c. 186 - n = 150 and f. 150 + n = 186.
The correct option is e.186 - 150 = n, f. 150 + n = 186The correct equations representing Aaron's sports cards situation are options e (186 - 150 = n) and f (150 + n = 186).
To solve the problem, let's establish the given information:
Aaron originally had 150 sports cards.
His friend gave him n additional cards.
Now, Aaron has 186 cards in his collection.
We need to find out which equations correctly represent this situation. Let's analyze each option:
a. n - 186 = 150: This equation suggests that subtracting 186 from n equals 150. This is not correct because it doesn't account for the initial 150 cards.
b. 150 + 186 = n: This equation incorrectly adds the total cards (186) to the initial 150. This doesn't match the given situation.
c. 186 - n = 150: This suggests that subtracting n from 186 equals 150. This would imply Aaron had 150 less than 186 cards initially, which is not the case.
d. n + 186 = 150: This equation adds 186 to n to equal 150, which suggests Aaron's total cards decreased, contradicting the given information.
e. 186 - 150 = n: This correctly calculates the additional cards by subtracting the initial cards from the total cards: 186 - 150 = 36, so n = 36.
f. 150 + n = 186: This equation correctly represents the scenario by adding n to the initial 150 cards to sum up to 186. Since 150 + 36 = 186, this shows that n = 36.
The correct equations are e. 186 - 150 = n and f. 150 + n = 186.
