A necklace chain costs $15. Beads cost $2.75 each. You spend a total of $28.75 on a necklace and beads before tax. Type an equation that models this situation (use x as the variable) and solve for x.
$15 + $2.75x = $28.75
Subtract $15 from both sides:
$2.75x = $13.75
Divide both sides by $2.75:
x = 5
Therefore, 5 beads were purchased.
Let's assume that the number of beads you bought is 'x'.
The cost of the necklace chain is $15.
The cost of each bead is $2.75
So, the total cost before tax is the sum of the cost of the chain and the cost of the beads, which is equal to $28.75.
Mathematically, we can represent this situation with the equation:
15 + 2.75x = 28.75
Now, let's solve for x.
Subtracting 15 from both sides of the equation, we get:
2.75x = 13.75
To solve for x, we divide both sides of the equation by 2.75:
x = 13.75 / 2.75
Simplifying the right side of the equation, we have:
x = 5
Therefore, you bought 5 beads for the necklace.