1. Muammo: Asliddinda jami 48 ta $2 va $10 lik kupyuralar bor. Ularning jami puli 272 ga teng. $10 lik kupyuralar sonini toping.
2. Formulalar va qoidalar:
- Agar $x$ ta $2 lik kupyura va $y$ ta $10 lik kupyura bo'lsa, jami kupyuralar soni: $$x + y = 48$$
- Jami pul miqdori: $$2x + 10y = 272$$
3. Hisoblash:
- Birinchi tenglamadan $x = 48 - y$ ni topamiz.
- Ikkinchi tenglamaga qo'yamiz: $$2(48 - y) + 10y = 272$$
- Kengaytiramiz: $$96 - 2y + 10y = 272$$
- Soddalashtiramiz: $$96 + 8y = 272$$
- $8y = 272 - 96 = 176$
- $y = \frac{176}{8} = 22$
4. Javob: $10 lik kupyuralar soni 22 ta.
Kupyura Soni
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.