2 1/2 teaspoons
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There is some unnecessary information in the problem, first, it should be removed.
"The dosage of cough medicine for a child 4 to 6..."
"2 days"
Listing the age and days don't matter here, it's the rest of the problem that matters!
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"1/2(a teaspoon) every 4 hours," This is one dose. Multiply 1/2 by five to see how many teaspoons are consumed.
1/2 x 5 = 2 1/2 (teaspoons)
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Good luck! :)
~pinetree