Answer :
Final answer:
By adding the total shots made and the total shots attempted, and setting this proportion equal to x/100, we can show that Ian made 52% of his shots in the game.
Explanation:
The student's question refers to finding the total percentage of shots Ian made during his basketball game. In the first half, Ian made 5 out of 15 shots, and in the second half, he made 8 out of 10 shots. To find the overall proportion of shots made, we need to add up the total shots made and the total shots attempted and then convert this into a percentage.
First, let's add up the total shots made: 5 (first half) + 8 (second half) = 13 total shots made. Then, let's add up the total shots attempted: 15 (first half) + 10 (second half) = 25 total shots attempted. Now, we can set up our proportion with 100 to solve for the percentage: 13 (total shots made) / 25 (total shots attempted) = x / 100. Cross-multiplying yields 25x = 1300, and solving for 'x', we find x = 52. So, Ian made approximately 52% of his shots.
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