The school band bought a saxophone and a clarinet for 3314 $ the saxophone cost 2276$ more than a clarinet what did each item cost ?

Question

The school band bought a saxophone and a clarinet for 3314 $ the saxophone cost 2276$ more than a clarinet what did each item cost ?

Answer 1

Let's call the cost of the clarinet C.

According to the information given, the cost of the saxophone is 2276$ more than the cost of the clarinet. So the cost of the saxophone is C + 2276$.

The total cost of the saxophone and the clarinet is 3314$. So we can write the equation:

C + (C + 2276$) = 3314$

Combining like terms:

2C + 2276$ = 3314$

Subtract 2276$ from both sides:

2C = 1038$

Divide both sides by 2:

C = 519$

So the cost of the clarinet is 519$.

To find the cost of the saxophone, we can substitute this value back into one of the equations above:

Cost of the saxophone = 519$ + 2276$

= 2795$

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

Answer 2

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 assume the cost of the clarinet is "c" dollars.
According to the given information, the cost of the saxophone is $2276 more than the clarinet. So the cost of the saxophone is "c + $2276".

Now, we can write the equations based on the total cost:

Equation 1: The total cost of the saxophone and clarinet is $3314:
c + (c + $2276) = $3314

Simplifying the equation:
2c + $2276 = $3314

Equation 2: The saxophone costs $2276 more than the clarinet:
c + $2276 = (cost of the saxophone)

Now, we can solve these equations to find the cost of each item.

Subtract $2276 from both sides of Equation 1:
2c = $3314 - $2276
2c = $1038

Divide both sides of the equation by 2 to solve for "c":
c = $519

Therefore, the cost of the clarinet is $519.

Now, substitute this value back into Equation 2 to find the cost of the saxophone:
(cost of the saxophone) = $519 + $2276
(cost of the saxophone) = $2795

Therefore, the cost of the saxophone is $2795, and the cost of the clarinet is $519.

Answer 3

Let's call the cost of the clarinet "C".

According to the given information, the saxophone cost 2276$ more than the clarinet, so we can represent the cost of the saxophone as "C + 2276".
The total cost of both items is given as 3314$, so we can write an equation:

C + (C + 2276) = 3314

Simplifying the equation:
2C + 2276 = 3314

Subtracting 2276 from both sides of the equation:
2C = 1038

Dividing both sides of the equation by 2:
C = 519

Therefore, the clarinet costs 519$.
To find the cost of the saxophone, we substitute this value back into the equation:

C + 2276 = 519 + 2276 = 2795

Therefore, the saxophone costs 2795$.