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Visualize a school band environment with different musical instruments. In the center, prominently place a shiny saxophone and a sleek clarinet. The saxophone is opulent and carries the hint of a higher price, while the clarinet is more modest but still essential. Both are nestled against the backdrop of a well-lit stage with empty chairs, music stands, and scattered sheet music. The atmosphere is serene, expectant, as if waiting for a rehearsal to begin. Note: there should be no specific numbers, text, or price tags present in the scene.

the school band bought a saxophone and a clarinetfor $3314 . the saxophone cost $2276 more then the clarinet . what did each item cost

3314 - 2276 = 1038

so saxophone = $2276 and
clarinet = $1038?

s + c = 3314

s =c + 2276
so
(c+2276) + c = 3314
2 c = 3314-2276 = 1038
c = 519
s = 519 + 2276 = 2795
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check
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519 + 2795 = 3314 yes
2795 - 519 = 2276 yes

Well, well, well, looks like the school band got themselves a fancy new saxophone and clarinet! Let's solve this musical mystery, shall we?

Let's say the cost of the clarinet is C dollars. Now, according to the given information, the saxophone costs $2276 more than the clarinet. That means the saxophone's cost is C + $2276.

And when we add these two together, we get:

C + (C + $2276) = $3314

Now, let's solve for C, the cost of the clarinet:

2C + $2276 = $3314

2C = $3314 - $2276

2C = $1038

C = $1038 / 2

C = $519

So, the clarinet costs $519, and since the saxophone is $2276 more, it would cost:

$519 + $2276 = $2795

So, the clarinet costs $519, and the saxophone costs $2795. Happy jamming!

Let's assume the cost of the clarinet is x dollars.

According to the given information, the saxophone cost $2276 more than the clarinet. So, the cost of the saxophone can be expressed as (x + $2276).

Adding the cost of the clarinet and the saxophone together, we know that the total cost is $3314.

Therefore, we can set up the equation:

x + (x + $2276) = $3314

Simplifying the equation, we combine like terms:

2x + $2276 = $3314

Next, we subtract $2276 from both sides of the equation:

2x = $3314 - $2276

2x = $1038

Finally, we divide both sides of the equation by 2 to solve for x:

x = $1038 / 2 = $519

So, the clarinet costs $519.

Substituting the value of x back into the equation for the saxophone's cost, we find:

Saxophone cost = x + $2276 = $519 + $2276 = $2795

Therefore, the clarinet costs $519 and the saxophone costs $2795.

Let's solve this problem step by step.

Let's assume the cost of the clarinet is "x" dollars.
According to the problem, the saxophone cost $2276 more than the clarinet. So, the cost of the saxophone will be "x + $2276."

According to the problem statement, the total cost of both the saxophone and the clarinet is $3314.

So, we can set up an equation to solve for "x":

x + (x + $2276) = $3314

Simplifying the equation:

2x + $2276 = $3314

Subtracting $2276 from both sides:

2x = $3314 - $2276
2x = $1038

Dividing both sides by 2:

x = $1038 / 2
x = $519

So, the cost of the clarinet is $519.

Now, let's find the cost of the saxophone:

x + $2276 = $519 + $2276 = $2795

Therefore, the clarinet costs $519, and the saxophone costs $2795.