Perbandingan

\(\text{Tinggi badan Roni : Ani = 5 : 4}\)

\(\text{Tinggi badan Ani} = \dfrac{\text{angka perbandingan Ani}}{\text{angka perbandingan Roni}}\times \text{Tinggi badan Roni}\)

\(\text{Tinggi badan Ani} = \dfrac{4}{5}\times 150 \text{ cm}\)

\(\text{Tinggi badan Ani} = \dfrac{4}{\cancel{5}}\times \cancelto{30}{150} = 120 \text{ cm}\)

\(\text{Perbandingan usia ayah, ibu, dan adik adalah 10 : 9 : 1}\)

\(\text{Usia ibu} = \dfrac{\text{nilai perbandingan ibu}}{\text{nilai perbandingan ayah}}\times\text{usia ayah}\)

\(\text{Usia ibu} = \dfrac{9}{10}\times 40\)

\(\text{Usia ibu} = \dfrac{9}{\cancel{10}}\times \cancelto{4}{40}= 36 \text{ tahun}\)

\(\text{Usia adik} = \dfrac{\text{nilai perbandingan adik}}{\text{nilai perbandingan ayah}}\times\text{usia ayah}\)

\(\text{Usia adik} = \dfrac{1}{10}\times 40\)

\(\text{Usia adik} = \dfrac{1}{\cancel{10}}\times \cancelto{4}{40}= 4 \text{ tahun}\)

\(\text{Perbandingan jumlah ayam dan sapi = 9 : 2}\)

\(\text{Jumlah sapi} = \dfrac{\text{nilai perbandingan sapi}}{\text{total perbandingan}}\times \text{total ayam dan sapi}\)

\(\text{Jumlah sapi} = \dfrac{2}{9 + 2}\times 99\text{ ekor}\)

\(\text{Jumlah sapi} = \dfrac{2}{\cancel{11}}\times \cancelto{9}{99}\text{ ekor} = 18 \text{ ekor}\)

\(\text{Perbandingan jumlah kelereng Rani, Budi, dan Tono = 5 : 7 : 4}\)

\(\text{Jumlah kelereng Rani} = \dfrac{\text{nilai perbandingan kelereng Rani}}{\text{total perbandingan}}\times \text{total kelereng}\)

\(\text{Jumlah kelereng Rani} = \dfrac{5}{5 + 7 + 4}\times 160 \text{ butir}\)

\(\text{Jumlah kelereng Rani} = \dfrac{5}{\cancel{16}}\times \cancelto{10}{160} = 50 \text{ butir}\)

\(\text{Jumlah kelereng Budi} = \dfrac{\text{nilai perbandingan kelereng Budi}}{\text{total perbandingan}}\times \text{total kelereng}\)

\(\text{Jumlah kelereng Budi} = \dfrac{7}{5 + 7 + 4}\times 160 \text{ butir}\)

\(\text{Jumlah kelereng Budi} = \dfrac{7}{\cancel{16}}\times \cancelto{10}{160} = 70 \text{ butir}\)

\(\text{Jumlah kelereng Tono = total kelereng – kelereng Rani – kelereng Budi}\)

\(\text{Jumlah kelereng Tono = 160 – 50 – 70 = 40 butir}\)

\(\text{Perbandingan uang tabungan Aisya dan Daniel = 3 : 5}\)

\(\text{Uang tabungan Aisya} = \dfrac{\text{nilai perbandingan tabungan Aisya}}{\text{selisih perbandingan}}\times \text{selisih uang tabungan}\)

\(\text{Uang tabungan Aisya} = \dfrac{3}{5 – 3}\times \text{ Rp480.000,00}\)

\(\text{Uang tabungan Aisya} = \dfrac{3}{\cancel{2}}\times \cancelto{240.000}{\text{ Rp480.000,00}}\)

\(\text{Uang tabungan Aisya = Rp720.000,00}\)

\(\text{Perbandingan jumlah mobil, motor, dan sepeda = 2 : 5 : 8}\)

\(\text{Jumlah mobil} = \dfrac{\text{nilai perbandingan mobil}}{\text{selisih perbandingan motor dan mobil}}\times \text{selisih jumlah motor dan mobil}\)

\(\text{Jumlah mobil} = \dfrac{2}{5 – 2}\times 9\)

\(\text{Jumlah mobil} = \dfrac{2}{\cancel{3}}\times \cancelto{3}{9} = 6\)

\(\text{Jumlah motor} = \dfrac{\text{nilai perbandingan motor}}{\text{selisih perbandingan motor dan mobil}}\times \text{selisih jumlah motor dan mobil}\)

\(\text{Jumlah motor} = \dfrac{5}{5 – 2}\times 9\)

\(\text{Jumlah motor} = \dfrac{5}{\cancel{3}}\times \cancelto{3}{9} = 15\)

\(\text{Jumlah sepeda} = \dfrac{\text{nilai perbandingan sepeda}}{\text{selisih perbandingan motor dan mobil}}\times \text{selisih jumlah motor dan mobil}\)

\(\text{Jumlah sepeda} = \dfrac{8}{5 – 2}\times 9\)

\(\text{Jumlah sepeda} = \dfrac{8}{\cancel{3}}\times \cancelto{3}{9} = 24\)

\(\text{Jumlah siswa yang ikut menari} = \dfrac{3}{5-3}\times 12\text{ orang}\)

\(\text{Jumlah siswa yang ikut menari} = \dfrac{3}{\cancel{2}}\times \cancelto{6}{12}\text{ orang}\)

\(\text{Jumlah siswa yang ikut menari} = 18\text{ orang}\)