To determine whether Santiago spent exactly $20, we can calculate the cost of the books he bought.
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Board books: 10 board books at $1.50 each would cost: \[ 10 \times 1.50 = 15.00 \]
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Soft cover books: 5 soft cover books at $0.50 each would cost: \[ 5 \times 0.50 = 2.50 \]
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Total cost: The total amount spent on both types of books is: \[ 15.00 + 2.50 = 17.50 \]
Since $17.50 is not equal to $20, the statement is False.