Chloe wants to ride her bicycle 30.5 miles this week. She has already ridden 14 miles. If she rides for 3 more days, write and solve an equation which can be used to determine $$ x $$, the average number of miles she would have to ride each day to meet her goal. Answer Attempt 1 out of 2 Equation: Answer: $$ x= $$

Question

UpStudy AI · Accepted Answer

**Step 1: Establish the equation**

Chloe’s goal is to ride a total of $$30.5$$ miles. She has already ridden $$14$$ miles, so the remaining miles she needs to ride are:
$$
30.5 - 14
$$

Since she will ride for $$3$$ more days at an average of $$ x $$ miles per day, the total distance she will cover in these $$3$$ days is:
$$
3x
$$

Setting these equal gives us the equation:
$$
3x = 30.5 - 14
$$

**Step 2: Simplify and solve the equation**

First, compute $$30.5 - 14$$:
$$
30.5 - 14 = 16.5
$$

So the equation becomes:
$$
3x = 16.5
$$

To solve for $$ x $$, divide both sides by $$3$$:
$$
x = \frac{16.5}{3}
$$

Computing the division:
$$
x = 5.5
$$

**Answer:**
$$
x = 5.5
$$
Chloe needs to ride an average of 5.5 miles each day for the next 3 days to meet her goal of 30.5 miles.

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Algebra Questions