Question

Luke sells pins for $4 each and rings for $6 each. He wants to make $40. Which equation correctly determines the number of pins (x) and the number of rings (y) he must sell to reach his goal?

Options:
A) 2x + 3y = 40
B) 4x + 6y = 40
C) 4x + 6y = 80
D) 4x + 4y = 40

Answer 1

The correct equation to determine the number of pins and rings Luke must sell to make $40 is 4x + 6y = 40, where x is the number of pins and y is the number of rings.

Step-by-step explanation:

The equation that correctly determines the number of pins (x) and the number of rings (y) Luke must sell to reach his goal of $40 is represented as 4x + 6y = 40. Each pin is sold for $4 and each ring for $6, so the total revenue is the sum of $4 times the number of pins plus $6 times the number of rings.

To solve the problem, you can use a linear equation in the form of total revenue = (price per pin × number of pins) + (price per ring × number of rings). In this case, it translates to 4x + 6y = 40. The correct option is B).