a local market sells fresh fruit to its customers. They have 8 apples and 10 oranges in a basket. The ratio of apples to oranges is 8:10. How can they find an equivalent ratio to this
To find an equivalent ratio, you need to multiply or divide both sides of the ratio by the same number. In this case, the ratio of apples to oranges is 8:10.
Step 1: Simplify the ratio:
To simplify the ratio, divide both sides by their greatest common divisor (GCD), which in this case is 2.
8 ÷ 2 = 4
10 ÷ 2 = 5
Therefore, the simplified ratio is 4:5.
Step 2: Find an equivalent ratio:
To find an equivalent ratio, multiply or divide both sides of the simplified ratio by the same number.
Example 1: You can multiply both sides of the simplified ratio by 2:
4 × 2 = 8
5 × 2 = 10
Therefore, an equivalent ratio to 8:10 is 8:10 (or you can say 4:5).
Example 2: You can multiply both sides of the simplified ratio by 3:
4 × 3 = 12
5 × 3 = 15
Therefore, another equivalent ratio to 8:10 is 12:15 (or you can simplify it as 4:5).