Math Problem Statement

Multiple-choice math problems related to ratios, ages, and proportions as seen in the uploaded image.

Solution

The image contains a set of math-related multiple-choice questions. I'll extract and solve the questions for you. Here's the detailed analysis and solution:


Question 1:

Untuk membuat satu loyang kue dan bolu, dibutuhkan 200 gram tepung terigu dan 250 gram telur. Rasio banyak tepung terhadap telur adalah ...

Options:

  • A. 3 : 4
  • B. 4 : 3
  • C. 5 : 4
  • D. 5 : 2

Solution: The ratio of tepung (200 grams) to telur (250 grams): Ratio=200250=45\text{Ratio} = \frac{200}{250} = \frac{4}{5} Answer: C. 4 : 5


Question 2:

Di dalam kelas terdapat 40 siswa, 24 siswa di antaranya adalah laki-laki. Rasio banyak siswa laki-laki dan siswa perempuan adalah ...

Options:

  • A. 3 : 5
  • B. 4 : 3
  • C. 5 : 2
  • D. 5 : 4

Solution: Total students = 40, Male = 24, Female = 4024=1640 - 24 = 16. Ratio of males to females: Ratio=2416=32\text{Ratio} = \frac{24}{16} = \frac{3}{2} Answer: C. 3 : 2


Question 3:

Usia ayah adalah 3 tahun lebih tua dari usia ibu. Usia ibu dan anak pertamanya berbeda 22 tahun. Jika usia ibu saat ini adalah 27 tahun, rasio usia anak pertama dan ayah adalah ...

Options:

  • A. 1 : 5
  • B. 1 : 4
  • C. 1 : 3
  • D. 1 : 6

Solution:

  • Age of mother = 27 years.
  • Age of first child = 2722=527 - 22 = 5 years.
  • Age of father = 27+3=3027 + 3 = 30 years.
  • Ratio of child's age to father's age: Ratio=530=16\text{Ratio} = \frac{5}{30} = \frac{1}{6} Answer: D. 1 : 6

Question 4:

Amira mempunyai koleksi buku cerita dan buku pengetahuan. Buku pengetahuan yang dimiliki 8 buku lebih banyak dari buku cerita. Jika total banyak buku adalah 64, maka banyak buku cerita adalah ...

Options:

  • A. 28
  • B. 32
  • C. 36
  • D. 40

Solution: Let the number of cerita books = xx, and the number of knowledge books = x+8x + 8. Total books = 64: x+(x+8)=64x + (x + 8) = 64 2x+8=64    2x=56    x=282x + 8 = 64 \implies 2x = 56 \implies x = 28 Answer: A. 28


Would you like further explanations on any of these problems?

5 Related Questions:

  1. How can ratios be simplified further in more complex scenarios?
  2. What other methods can you use to solve age-related ratio problems?
  3. How do you handle cases where the total in a ratio problem is unknown?
  4. What are real-life examples where ratios play an important role?
  5. How can algebra help in solving proportional questions?

Tip:

Always verify ratio calculations by cross-multiplying the simplified form to the original numbers!

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportions
Algebra
Age Problems

Formulas

Ratio = Part1 / Part2
Age = Current Age - Difference
Total = x + (x + Constant)

Theorems

Basic Ratio Simplification
Proportionality

Suitable Grade Level

Grades 6-8