Question

A) A bag contains red and blue counters only.

Number of red counters : number of blue counters = 3:4

Write down the fraction of the counters that are red.

b) Write down the ratio 12:30 in the form 1:n

Answer 1

Answer: 12:30 = 1:2.5

12:30 = 1:n

12/1=12

30/12=2.5

12:30 = 1:2.5

Answer 2

4/7, n = 2.5

Explanation:

What is a ratio?

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.

To solve for the fraction of red counters there are, we can first take the ratio 3: 4 and find out the total amount of counters for every 3 red counters.

4 + 3 = 7

This means that for every 7 counters, 3 of them are red forming the fraction
`(3)/(7)`.

To simplify the ratio 3: 4 to make it 1: n, we can use this equation:

30 × 1/12 = 2.5

Why do we multiply by 1/12?

We multiply by 1/12 because in order to go from 12 to 1, we must multiply the 12 by 1/12.

Therefore, n = 2.5, creating the ratio 1: 2.5.