The correct option is a.
The ratio of Green Party voters to Blue Party voters in its simplest form is 1:6.
To find the ratio of Green Party voters to Blue Party voters in its simplest form, follow these steps:
1. Identify the Numbers:
Green Party voters: 1,500
Blue Party voters: 9,000
2. Write the Initial Ratio:
The initial ratio of Green Party voters to Blue Party voters is
.
3. Simplify the Ratio:
To simplify, divide both numbers by their greatest common divisor (GCD). The GCD of 1500 and 9000 can be found by breaking down each number into its prime factors or by using a GCD calculator.
- The prime factors of 1500 are 2 × 2 × 3 × 5 × 5 × 5.
- The prime factors of 9000 are 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5.
The common factors are two 2s, one 3, and three 5s. Multiplying these gives the GCD:
.
Now, divide both sides of the ratio by the GCD:
So, the simplified ratio is
.
Therefore, the answer is 1:6.
The complete question is here:
The number of people who voted for the Green Party in an election was 1500. The number of people who voted for the Blue Party was 9000 .
Write the ratio of Green Party voters to Blue Party voters in its simplest form.
A. 1:6
B. 1:9
C. 1:5
D. 1:3