write three equivalent ratios to compare each of the following.
20 pencils to 25 erasers
To find equivalent ratios, we need to compare the same quantities in different ratios. In this case, we are comparing pencils to erasers. Let's set up the ratio with pencils as the first term and erasers as the second term:
1. 20 pencils to 25 erasers:
- Ratio: 20/25
To find an equivalent ratio, we can multiply or divide both terms of the ratio by the same number. Here, we can divide both terms by 5 to simplify the ratio:
- Simplified ratio: (20 ÷ 5) pencils to (25 ÷ 5) erasers
- Ratio: 4 pencils to 5 erasers
Now, let's find two more equivalent ratios using the same approach:
2. Equivalent ratio 1: Multiply both terms by 2
- Ratio: (20 × 2) pencils to (25 × 2) erasers
- Ratio: 40 pencils to 50 erasers
3. Equivalent ratio 2: Multiply both terms by 3
- Ratio: (20 × 3) pencils to (25 × 3) erasers
- Ratio: 60 pencils to 75 erasers
So, the three equivalent ratios to compare 20 pencils to 25 erasers are:
- 4 pencils to 5 erasers
- 40 pencils to 50 erasers
- 60 pencils to 75 erasers
4/5 100/100
I did the first one for you. Now it's your turn.
I'll be glad to check your answers.