To find out how much money Garret has left after buying 10 pencils, we first need to calculate the total cost of the pencils.
The cost of one pencil is $0.15. Therefore, the cost for 10 pencils can be calculated as follows:
\[ \text{Total cost} = \text{Cost per pencil} \times \text{Number of pencils} = 0.15 \times 10 = 1.50 \]
Now, we will subtract the total cost of the pencils from the amount of money Garret initially had:
\[ \text{Money left} = \text{Initial amount} - \text{Total cost} = 1.74 - 1.50 \]
Calculating that gives:
\[ \text{Money left} = 1.74 - 1.50 = 0.24 \]
Thus, Garret has \( \boxed{0.24} \) dollars left.
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