Question

If there are 40 apples and 16 bananas for a fruit basket, fill out all of the possible ratios of apples to bananas that could be made. a. there are 40 apples for every 16 bananas (40 : 16 ratio) b. there are __ apples for every __ bananas ___ type in an equivalent ratio of apples and bananas.

Answer 1

The student can create equivalent ratios of apples to bananas by simplifying the original 40:16 ratio to 5:2 and then multiplying both numbers in the simplified ratio by the same number to make more equivalent ratios.

There are 5 apples for every 2 bananas is type in an equivalent ratio of apples and bananas.

Step-by-step explanation:

To create equivalent ratios, we can simplify the original ratio or multiply both terms by the same number.

To simplify the ratio 40:16, we can divide both numbers by their greatest common divisor, which is 8. This gives us a simplified ratio of 5:2, meaning there are 5 apples for every 2 bananas.

If we want to create more equivalent ratios, we can multiply both numbers in the simplified ratio by the same number. For example:

• 
  
• Multiplying by 2 gives us 10:4
• 
  
• Multiplying by 3 gives us 15:6
• 
  
• Multiplying by 4 gives us 20:8
• 
  

Each of these ratios represent equivalent amounts of apples to bananas, just in different quantities.