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
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 the cost of one guitar pick be C.
The cost of 30 guitar picks is 30C.
Since the cost of 30 guitar strings is $1 more than the cost of 30 guitar picks, the cost of 30 guitar strings is 30C + $1.
Since he spent a total of $75, we have the equation: 30C + 30C + $1 = $75
Combining like terms, we get: 60C + $1 = $75
Subtracting $1 from both sides, we get: 60C = $74
Dividing both sides by 60, we get: C = $74 / 60
C = $1.23
Thus, the cost of one guitar string is $1 more than the cost of one guitar pick, which is $1.23 + $1 = $<<1.23+1=2.23>>2.23. Answer: \boxed{2.23}.
Let the cost of one guitar pick be C.
Since Malcolm bought 30 guitar picks, the total cost of the guitar picks is 30C.
The cost of 30 guitar strings is $1 more than the cost of the guitar picks, so the total cost of the guitar strings is 30C + $1.
Since Malcolm spent a total of $75, we can write the equation:
30C + 30C + $1 = $75
Combining like terms, we get:
60C + $1 = $75
Subtracting $1 from both sides, we get:
60C = $74
Dividing both sides by 60, we get:
C ≈ $1.2333
Therefore, the cost of one guitar string is approximately $1.2333 + $1 = $2.2333, which is closest to $2.23.
Therefore, the answer is $2.23.