Question

You are participating in a Walk-a-thon in which you walk for donations. If your sister donates $10 and your mom donates $1.70 per mile, and together they donate $15.10, how many miles did you walk?

Answer 1

By setting up an algebraic equation and solving for 'x', where 'x' represents the number of miles walked, it was determined that 3 miles were walked during the Walk-a-thon.

Step-by-step explanation:

To determine how many miles you walked during the Walk-a-thon based on the donations from your sister and mom, we can set up a simple algebraic equation. Your sister's flat donation was $10, and your mom donated $1.70 per mile. The total amount donated by both is $15.10. So we can write the equation:

10 + 1.70x = 15.10

Here, 'x' represents the number of miles you walked. Now, let's solve the equation:

1. Subtract 10 from both sides of the equation to get the term with 'x' by itself:
2. 1.70x = 15.10 - 10
3. 1.70x = 5.10
4. Now, divide both sides by 1.70 to solve for 'x':
5. x = 5.10 / 1.70
6. x = 3

Thus, you walked 3 miles during the Walk-a-thon.

To find the number of miles you walked, you'll need to solve the equation. Let x be the number of miles you walked.

Your sister donated $10, and your mom donated $1.70 per mile. So the total amount donated by your mom is 1.70x.

The total amount donated is given as $15.10. So you can set up the equation: $10 + 1.70x = $15.10.

Subtract $10 from both sides to isolate the term with x: 1.70x = $5.10.

Then divide both sides by 1.70 to solve for x: x = $5.10 ÷ 1.70 = 3.

You walked 3 miles.