Question

in the school band, there are 10 drums and 25 trumpets. select the two options that show the ratio of drums to trumpets. 2 : 2 1 : 5 2 : 5 6 : 10 4 : 10

Explanation:

Step1: Find the ratio of drums to trumpets

The number of drums is 10 and the number of trumpets is 25. So the ratio of drums to trumpets is \(10:25\).

Step2: Simplify the ratio

To simplify \(10:25\), we divide both numbers by their greatest common divisor, which is 5. So \(\frac{10}{5}:\frac{25}{5}=2:5\).

Step3: Check other equivalent ratios

We can also multiply both parts of \(2:5\) by 2 to get \(4:10\) (since \(2\times2 = 4\) and \(5\times2 = 10\)).

Step4: Evaluate the options

• \(2:2\): Not equivalent to \(10:25\).
• \(1:5\): Not equivalent to \(10:25\) (since \(10\div10 = 1\) and \(25\div5 = 5\), but the division factors are different).
• \(2:5\): Equivalent (from Step 2).
• \(6:10\): Simplify \(6:10\) to \(3:5\), not equivalent to \(2:5\).
• \(4:10\): Equivalent (from Step 3).

Answer:

2 : 5, 4 : 10