Pupils have 23 day holiday starting on Friday. Which day of the week will the holiday end? (b) A teacher made learners to stand in lines of 6 and 2 pupils remained, when he made them to stand in groups of 7, 3 pupils remained. How many pupils were they altogether?

• Siku ya 1 baada ya Ijumaa ni Jumamosi.
• Siku ya 2 baada ya Ijumaa ni Jumapili. Likizo itaisha siku ya Jumapili.

b) Mwalimu aliwapanga wanafunzi katika mistari ya 6 na wanafunzi 2 walibaki, alipowapanga katika vikundi vya 7, wanafunzi 3 walibaki. Walikuwa wanafunzi wangapi kwa jumla?

Ikiwa wanafunzi N walipangwa katika mistari ya 6 na 2 walibaki, basi:

Ikiwa walipangwa katika vikundi vya 7 na 3 walibaki, basi:

Kwa $N \equiv 2 \pmod{6}$, nambari zinazowezekana ni: $2, 8, 14, 20, 26, 32, \textbf{38}, 44, ...$
Kwa $N \equiv 3 \pmod{7}$, nambari zinazowezekana ni: $3, 10, 17, 24, 31, \textbf{38}, 45, ...$

Kwa hivyo, walikuwa wanafunzi 38 kwa jumla.