Final answer:
To determine the cost of 6 pencils when 9 pencils cost $7.74, one should calculate the unit price of one pencil and then multiply this by 6.
Step-by-step explanation:
The question relates to the determination of the cost of a number of pencils given a certain cost for another number of pencils. Specifically, we are given that 9 pencils cost $7.74, and we need to find out how much 6 pencils would cost.
To solve this, we use the unit price method. We need to calculate the cost of one pencil first and then multiply that by the number of pencils we want to purchase. So, we divide $7.74 by 9 to get the price of one pencil, then multiply by 6 to find the cost of 6 pencils.
Steps to solve the equation:
Find the price per pencil by dividing the total cost by the number of pencils: Price per pencil = Total cost / Number of pencils.
Calculate the cost for 6 pencils using the unit price: Cost for 6 pencils = Price per pencil x 6.
Using these steps, we get the equation to find the cost of 6 pencils: Cost for 6 pencils = (7.74 / 9) x 6.