The cost of a pen and a book are in the ratio of 5:3 respectively. If a pen costs sh. 2000, What is the cost of a book? 2. The cost of book and rulers in the ratio of 5:1. What is the cost of a book if a ruler costs costs sh. 250

1. Tatizo la Kwanza: Step 1: Andika uwiano wa gharama ya kalamu na kitabu. Gharama ya kalamu : Gharama ya kitabu = 5 : 3. Tunajua gharama ya kalamu ni sh 2000. Step 2: Weka uwiano kama mlinganyo ili kupata gharama ya kitabu. Hebu C_k iwe gharama ya kalamu na C_b iwe gharama ya kitabu. (C_k)/(C_b) = (5)/(3) Badilisha gharama ya kalamu: (2000)/(C_b) = (5)/(3) Step 3: Tatua mlinganyo kwa C_b. 5 × C_b = 2000 × 3 5 C_b = 6000 Gawanya pande zote mbili kwa 5: C_b = (6000)/(5) C_b = 1200 Gharama ya kitabu ni sh 1200. Gharama ya kitabu ni sh 1200. 2. Tatizo la Pili: Step 1: Andika uwiano wa gharama ya kitabu na rula. Gharama ya kitabu : Gharama ya rula = 8 : 1. Tunajua gharama ya rula ni sh 250. Step 2: Weka uwiano kama mlinganyo ili kupata gharama ya kitabu. Hebu C_b iwe gharama ya kitabu na C_r iwe gharama ya rula. (C_b)/(C_r) = (8)/(1) Badilisha gharama ya rula: (C_b)/(250) = (8)/(1) Step 3: Tatua mlinganyo kwa C_b. C_b × 1 = 8 × 250 C_b = 2000 Gharama ya kitabu ni sh 2000. Gharama ya kitabu ni sh 2000. Tuma swali linalofuata 📸