6. Read this statement. Then answer the questions that follow. Five sixths of the thirty motorcycles on the lot were new. a. How many motorcycles were used? b. What was the ratio of new motorcycles to used motorcycles?

Question

UpStudy AI · Accepted Answer

**Step 1. Find the number of new motorcycles.**

We are given that $$ \frac{5}{6} $$ of the $$ 30 $$ motorcycles are new. Thus, the number of new motorcycles is
$$
\frac{5}{6} \times 30 = 25.
$$

**Step 2. Find the number of used motorcycles.**

Since there are $$ 30 $$ motorcycles in total, the number of used motorcycles is
$$
30 - 25 = 5.
$$

**Step 3. Find the ratio of new motorcycles to used motorcycles.**

The ratio is
$$
25:5.
$$
This ratio can be simplified by dividing both numbers by $$ 5 $$:
$$
\frac{25}{5}:\frac{5}{5} = 5:1.
$$

**Answers:**

a. There are $$ 5 $$ used motorcycles.  
b. The ratio of new motorcycles to used motorcycles is $$ 5:1 $$.
a. There are 5 used motorcycles. b. The ratio of new motorcycles to used motorcycles is 5:1.

6. Read this statement. Then answer the questions that follow. Five sixths of the thirty motorcycles on the lot were new. a. How many motorcycles were used? b. What was the ratio of new motorcycles to used motorcycles?

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