Question

write an equation aliyah had $24 to spend on seven pencils. after buying them she had $10. how much did each pencil cost? 10+x=14 7x+10=24 24-10=7x 7x-24=10

Explanation:

Step1: Define variable

Let \( x \) be the cost of each pencil. Total pencils are 7, so total cost of pencils is \( 7x \).

Step2: Set up equation

Aliyah had $24, spent LXI0 on pencils, and had $10 left. So, \( 7x + 10 = 24 \) (total cost + remaining = initial) or \( 24 - 10 = 7x \) (initial - remaining = total cost). Let's check the options:

• \( 10 + x = 14 \): Incorrect, not related.
• \( 7x + 10 = 24 \): Matches the "total cost + remaining = initial" logic.
• \( 24 - 10 = 7x \): Also correct, but let's see the problem says "WRITE AN EQUATION"—both are correct, but \( 7x + 10 = 24 \) is a standard form.
• \( 7x - 24 = 10 \): Incorrect, rearranging gives \( 7x = 34 \), which doesn't fit.

Answer:

\( 7x + 10 = 24 \) (the second option: \( 7x + 10 = 24 \))