Section: Math

92) A youth basketball program serves a total of 280 children who are either 11 or 12 years old. The sum of the children's ages equal 3,238 years. How many 12-year-old children are in the program? 

1. 55
2. 122
3. 132
4. 158

Answer 4 is correct. Finding answer requires a series of operations. 

Firstly, choose one of the answers provided and use it to determine the sum of the 11-year-old ages. Start here because it is easier to operate with existing numbers than to simply make up figures. 

122*11 can be discovered by adding a zero to the end of 122 (1,220), then adding 122 to that for a total of 1,342. Subtract 1,342 from the sum of 3,238, and you'll get 1,896. Now divide 1,896 by 12 to get 158. Further, the sum of 158 and 122 equals 280, so the answer checks out on that end as well.