At halftime of a basketball tournament game, Emek and Luna studied their team's shooting statistics. The team had made 20 successful shots in the first half, but the coach wanted them to reach 30 successful shots by the end of the game. Luna calculated that they needed 10 more shots, an increase of 50 percent from their first-half total. In recent games, the team had usually improved its second-half total by about 30 percent, so a 50 percent increase would be challenging. Emek suggested taking fewer difficult long-range shots and creating more chances near the basket. The team followed the plan and made exactly 10 additional shots in the second half. Their total reached 30, meeting the coach's target. The players celebrated knowing that careful percentage reasoning had helped shape their strategy.

Challenges

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Challenge 1 of 5

Challenges

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Challenge 1 of 4
Hint
To find the percent increase, compare the increase of 10 shots with the original 20 shots.
The team needed 10 more successful shots after making 20 in the first half. Which calculation correctly shows that 10 is a 50 percent increase from 20?
10 / 30 = 0.333, or about 33 percent20 / 10 = 2, or 200 percent10 / 20 = 0.5, or 50 percent20 / 30 = 0.667, or about 67 percent
Correct. The increase is one-half of the original amount, which is 50 percent.
Divide the increase in successful shots by the original number of successful shots.
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Hint
Convert 30 percent to a decimal and multiply it by 20.
In recent games, the team usually improved by 30 percent of its first-half total. If the team made 20 successful shots in the first half, how many additional successful shots would a 30 percent improvement represent?
Correct. Thirty percent of 20 is 6.
Find 30 percent of the first-half total of 20 shots.
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Hint
First find 30 percent of 20, add that amount to 20, and then compare the result with the target of 30.
If the team had improved by its usual 30 percent instead of the 50 percent needed to reach the coach's target, what would have happened?
The team would have added 6 shots and reached 26, falling 4 shots short of the target.The team would have added 10 shots and reached the target exactly.The team would have added 14 shots and exceeded the target by 4.The team would have added 6 shots and reached 30 exactly.
Correct. A 30 percent improvement would add 6 shots, giving 26 total, which is 4 short of 30.
Calculate 30 percent of 20, add it to the first-half total, and compare the result with 30.
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Devre Arası Şut Planı
TR
ARC_G08_FRD_02_STORY_01
Devre Arası Şut Planı
The Halftime Shooting Plan
EN
ARC_G08_FRD_02_STORY_01
The Halftime Shooting Plan