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.