Math Problem Statement

My journey to school is 

4 km

 and my journey to the shops is 

7 km

.

Which one of the following shows the ratio of the distance to the shops to the distance to school?

7 : 47:4

4 : 74:7

3 : 43:4

7 : 117:11

Solution

The question asks for the ratio of the distance to the shops (7 km) to the distance to school (4 km).

The correct ratio is:

Distance to the shops:Distance to school=7:4\text{Distance to the shops} : \text{Distance to school} = 7 : 4

Thus, the correct option is:

7 : 4

Would you like further details or explanations?

Here are 5 related questions to deepen your understanding:

  1. How would the ratio change if the distance to the shops increased to 10 km?
  2. What would the ratio be if the distance to the school was halved?
  3. Can you express the ratio 7:47 : 4 as a fraction and a decimal?
  4. What is the inverse of the ratio 7:47 : 4?
  5. How do you simplify a ratio if both numbers are divisible by a common factor?

Tip: Always make sure to compare the quantities in the same order as requested in the problem!

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportions

Formulas

Ratio = Distance to shops : Distance to school

Theorems

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Suitable Grade Level

Grades 5-6