Question

question
select the correct answer.
the ratio of clarinets to flutes in the music room is 5 to 3.
which statement is true of the clarinets and flutes in the music room?

• for every 5 clarinets, there are 3 flutes.
• for every 2 flutes, there are 5 clarinets.
• there are 2 more clarinets than there are flutes.
• there are 5 more clarinets than there are flutes.

Explanation:

Step1: Analyze the ratio

The ratio of clarinets to flutes is 5 to 3, which means for every 5 clarinets, there are 3 flutes.

Step2: Evaluate each option

• Option 1: "For every 5 clarinets, there are 3 flutes." This matches the given ratio (5:3), so this is correct.
• Option 2: "For every 2 flutes, there are 5 clarinets." The ratio here would be 5:2, which does not match 5:3, so this is incorrect.
• Option 3: "There are 2 more clarinets than there are flutes." The ratio is a relative comparison, not a fixed difference. For example, if there are 5 clarinets and 3 flutes, the difference is 2, but if there are 10 clarinets and 6 flutes, the difference is 4. So this statement is not always true, incorrect.
• Option 4: "There are 5 more clarinets than there are flutes." As explained in Option 3, the difference is not fixed at 5, so this is incorrect.

Answer:

A. For every 5 clarinets, there are 3 flutes.