MathDB
Candice.

Source: 2022 AMC 8 Problem 21

January 25, 2022
AMC 8

Problem Statement

Steph scored 1515 baskets out of 2020 attempts in the first half of a game, and 1010 baskets out of 1010 attempts in the second half. Candace took 1212 attempts in the first half and 1818 attempts in the second. In each half, Steph scored a higher percentage of baskets than Candace. Surprisingly they ended with the same overall percentage of baskets scored. How many more baskets did Candace score in the second half than in the first?
[asy] size(7cm); draw((-8,27)--(72,27)); draw((16,0)--(16,35)); draw((40,0)--(40,35)); label("12", (28,3)); draw((25,6.5)--(25,12)--(31,12)--(31,6.5)--cycle); draw((25,5.5)--(31,5.5)); label("18", (56,3)); draw((53,6.5)--(53,12)--(59,12)--(59,6.5)--cycle); draw((53,5.5)--(59,5.5)); draw((53,5.5)--(59,5.5)); label("20", (28,18)); label("15", (28,24)); draw((25,21)--(31,21)); label("10", (56,18)); label("10", (56,24)); draw((53,21)--(59,21)); label("First Half", (28,31)); label("Second Half", (56,31)); label("Candace", (2.35,6)); label("Steph", (0,21)); [/asy]

<spanclass=latexbold>(A)</span> 7<spanclass=latexbold>(B)</span> 8<spanclass=latexbold>(C)</span> 9<spanclass=latexbold>(D)</span> 10<spanclass=latexbold>(E)</span> 11<span class='latex-bold'>(A)</span> ~7\qquad<span class='latex-bold'>(B)</span> ~8\qquad<span class='latex-bold'>(C)</span> ~9\qquad<span class='latex-bold'>(D)</span> ~10\qquad<span class='latex-bold'>(E)</span> ~11