Malcolm purchased some supplies for his music class. He bought 30 guitar picks and 30 guitar strings since they only cost $1 more than the guitar picks. He spent a total of $75. If C is the cost of one guitar pick, find the cost of one guitar string.
$0.75
$1.50
$1.75
$1.
Let C be the cost of one guitar pick in dollars. The cost of 30 guitar picks is 30C dollars.
The cost of 30 guitar strings is 30C + 1 dollar.
In total, Malcolm spent 30C + 30C + 1 = $75.
Combining like terms gives 60C + 1 = $75.
Subtracting 1 from both sides gives 60C = $74.
Dividing both sides by 60 gives C = $74/60 = $1.23333...
The cost of one guitar pick is approximately $1.23.
The cost of one guitar string is $1 more than the cost of one guitar pick, so it is $1 + $1.23 = $2.23.
The answer is not in the given options, but the closest option is $1.75.