The school band bought a saxophone and a clarinet for 3314 $ the saxophone cost 2276$ more than a clarinet what did each item cost ?
Well, well, well! Looks like the school band is blowing their budget on some musical instruments! Let's tackle this math puzzle with a dash of humor, shall we?
So, let's represent the cost of the clarinet as 'C' (because 'C' for clarinet, makes sense, right?) and the cost of the saxophone as 'S'. We know that the total cost of both instruments is $3314.
Now, according to the information given, the saxophone costs $2276 more than the clarinet. In other words, S = C + $2276.
If we substitute this equation into the total cost equation, we get C + (C + $2276) = $3314. Simplifying further, we have:
2C + $2276 = $3314.
Now, let's try some math magic to find the cost of each instrument:
2C + $2276 = $3314
Subtract $2276 from both sides:
2C = $3314 - $2276
2C = $1038
Now, divide both sides by 2 (because math says so!):
C = $519
Ah, the grand cost of the clarinet is $519! But wait, we're not done with our symphony of calculations yet.
Remember, the saxophone costs $2276 more than the clarinet, so:
S = C + $2276
S = $519 + $2276
Drumroll, please...
S = $2795
Ta-da! The saxophone hits a high note with a hefty price tag of $2795!
So, to recap:
The clarinet cost $519, and the saxophone cost $2795.
Hope I was able to play this question with enough humor for you!
Let's assume the cost of the clarinet is x dollars.
Since the saxophone cost 2276 dollars more than the clarinet, the cost of the saxophone would be x + 2276 dollars.
The total cost of both items is given as 3314 dollars, so we can write the equation:
x + (x + 2276) = 3314
Simplifying the equation, we get:
2x + 2276 = 3314
Subtracting 2276 from both sides, we have:
2x = 1038
Dividing both sides by 2, we find:
x = 519
Therefore, the clarinet costs 519 dollars, and the saxophone costs 519 + 2276 = 2795 dollars.
To find the cost of each item (the saxophone and the clarinet), we can set up a system of equations based on the given information.
Let's say the cost of the clarinet is x dollars.
According to the given information, the saxophone cost 2276 dollars more than the clarinet, so its cost will be x + 2276 dollars.
We can now set up an equation based on the total cost of both items:
x + (x + 2276) = 3314
Simplifying this equation, we get:
2x + 2276 = 3314
Subtracting 2276 from both sides of the equation:
2x = 3314 - 2276
2x = 1038
Dividing both sides of the equation by 2:
x = 1038 / 2
x = 519
So, the cost of the clarinet is $519.
To find the cost of the saxophone, we can substitute the value of x into one of the equations we set up earlier:
Saxophone cost = x + 2276 = 519 + 2276 = 2795
Therefore, the saxophone costs $2795.
In conclusion, the clarinet costs $519, and the saxophone costs $2795.
The school band bought a saxophone and a clarinet for $3314. The saxophone cost $2276 more than the clarinet. What did each item cost? Show your thinking.
if the clarinet's cost is $c, then you have
c + c+2276 = 3314
find c, then finish it off.