The average number of questions Perry and Diana solved was 206. The average number of questions Diana and Abi solved was 190. The average number of questions Abi and Perry solved was 185. How many questions did each of them solve?
- Diana
- Perry
- Abi
(a)
Number of questions that Perry and Diana solved
= 206 x 2
= 412
Number of questions that Diana and Abi solved
= 190 x 2
= 380
Number of questions that Abi and Perry solved
= 185 x 2
= 370
Number of questions that Diana solved
= (412 + 380 - 370) ÷ 2
= 422 ÷ 2
= 211
(b)
Number of questions that Perry solved
= 412 - 211
= 201
(c)
Number of questions that Abi solved
= 380 - 211
= 169
Answer(s): (a) 211; (b) 201; (c) 169
