Daphne gave away 3 more than half her apples. She gave away 17 apples in all. how many apples did she have originally?
28
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To find out how many apples Daphne initially had, we can use algebraic equations. Let's assume the number of apples Daphne initially had is "x".
It is mentioned in the question that Daphne gave away "3 more than half her apples". We can express this as (1/2)x + 3.
The question also states that she gave away 17 apples in total. So we can equate the expression (1/2)x + 3 to 17:
(1/2)x + 3 = 17
To solve this equation, we need to isolate the variable x. First, we subtract 3 from both sides of the equation:
(1/2)x = 17 - 3
(1/2)x = 14
Next, we multiply both sides of the equation by 2 to get rid of the fraction:
2 * (1/2)x = 2 * 14
x = 28
Therefore, Daphne initially had 28 apples.
x/2 + 3 = 17
Solve for x.