To find out how much Karim needs to pay for the shirt on sale, we first need to calculate the amount of the discount, which is one-third off the original price.
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Calculate one-third of the original price: \[ \text{One-third of } 46.50 = \frac{46.50}{3} = 15.50 \]
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Subtract the discount from the original price to find the sale price: \[ \text{Sale price} = 46.50 - 15.50 = 31.00 \]
Therefore, Karim needs to pay $31.00 to buy the shirt on sale.