It takes Rylla 18 hours to knit a scarf. She can only knit for 1.5 hours per day. How many days will it take her to knit the scart? Part 1: Let $$ x $$ be the number of days it will take her to knit the scarf. Choose the correct translation of this problem into an equation: $$ 18-1.5=x $$ $$ x=(1.5)(18) $$ (1.5 $$ x=18 $$ Part 2 : Solve for $$ x $$. I

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UpStudy AI · Accepted Answer

Let's break down the problem step by step.

### Part 1: Translating the Problem into an Equation

We know that Rylla takes 18 hours to knit a scarf and she can knit for 1.5 hours each day. We want to find out how many days $$ x $$ it will take her to complete the scarf.

To find the number of days, we can set up the equation based on the total hours she needs to knit divided by the hours she can knit per day:

$$
x = \frac{18}{1.5}
$$

Now, let's analyze the options provided:

1. $$ 18 - 1.5 = x $$ - This is incorrect because it does not represent the relationship between total hours and daily hours.
2. $$ x = (1.5)(18) $$ - This is incorrect because it suggests multiplying the daily hours by the total hours, which does not make sense in this context.
3. $$ 1.5x = 18 $$ - This is correct because it states that the total hours (18) is equal to the daily hours (1.5) multiplied by the number of days (x).

Thus, the correct translation of the problem into an equation is:

$$
1.5x = 18
$$

### Part 2: Solving for $$ x $$

Now, we will solve the equation $$ 1.5x = 18 $$ for $$ x $$.

To isolate $$ x $$, we divide both sides of the equation by 1.5:

$$
x = \frac{18}{1.5}
$$

Now, let's calculate this value.

$$
x = \frac{18}{1.5}
$$

Calculating this gives:

$$
x = 12
$$

So, it will take Rylla 12 days to knit the scarf.

### Final Answer
- **Part 1:** The correct equation is $$ 1.5x = 18 $$.
- **Part 2:** It will take her $$ x = 12 $$ days to knit the scarf.
It will take Rylla 12 days to knit the scarf.

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