George's expression is incorrect because it does not accurately represent his expenses. The expression he used is:
\[ 15 - 9 + 2.65 + 1.35 + 2(1.74) \]
He starts with $15. He correctly subtracts the cost of the movie ticket ($9.00), but then he adds the costs of the other items, which is not the correct operation. Instead of adding these amounts, he should be subtracting the total cost of all the items he wants to buy from $15.
To fix the expression, George needs to find the total cost of all the items:
- Movie ticket: $9.00
- Pretzel: $2.65
- Drink: $1.35
- Two veggie cups: \( 2 \times 1.74 = 3.48 \)
Now, adding these amounts:
Total cost = \( 9.00 + 2.65 + 1.35 + 3.48 \)
Calculating the total:
\[ Total = 9.00 + 2.65 = 11.65 \ Total = 11.65 + 1.35 = 13.00 \ Total = 13.00 + 3.48 = 16.48 \]
So, the total cost of all items is $16.48.
Now, to find out if he has enough money, he should compare this total cost to the amount he has:
\[ 15 - 16.48 \]
So the corrected expression for determining whether he has enough money should be:
\[ 15 - (9 + 2.65 + 1.35 + 2(1.74)) \]
In summary, George's original expression incorrectly adds the costs of the items instead of summing them and then subtracting from his total money.