Question

1. nora ran 4 miles farther than holly. together, they ran a total of 24 miles. how far did each girl run? the system is graphed below. nora ran 14 miles, and holly ran 10 miles. nora ran 10 miles, and holly ran 14 miles. nora ran 12 miles, and holly ran 10 miles. nora ran 10 miles, and holly ran 10 miles.

Explanation:

Step1: Analyze the first condition

Nora ran 4 miles farther than Holly. Let Holly's miles be \( h \) and Nora's be \( n \), so \( n = h + 4 \).

Step2: Analyze the second condition

Together they ran 24 miles, so \( n + h = 24 \).

Step3: Test the first option

Option 1: Nora = 14, Holly = 10. Check \( 14 = 10 + 4 \) (true) and \( 14 + 10 = 24 \) (true).

Step4: Test other options

Option 2: \( 10
eq14 + 4 \) (false). Option 3: \( 12
eq10 + 4 \) (false). Option 4: \( 10
eq10 + 4 \) (false).

Answer:

A. Nora ran 14 miles, and Holly ran 10 miles.