Question

At Shaw's Market apples cost $10 per case and bananas cost $6 per case. If an order comes in for a total of 300 cases for $2,000, what was the specific number of cases of apples?

Answer 1

50 was the specific number of cases of apples

Explanation:

let x be the number of cases of apples and y be the number of cases of banana.

As per the statement:

At Shaw's Market apples cost $10 per case and bananas cost $6 per case

⇒Cost of x cases of apples = 10 x and Cost of y cases of apples = 6 y

If an order comes in for a total of 300 cases

⇒
`x+y = 300` ....[1]

It is also given that total cost for the cases of apple and banana is, $2000

⇒
`10x +6y = 2000` ....[2]

Multiply equation [1] by 6 both sides we get;

`6x+6y = 1800` .....[3]

Subtract [3] from [2] to get eliminate y:

`10x+6y-6x-6y = 2000-1800`

Combine like terms;

`4x = 200`

Divide both sides by 4 we get;

x = 50

Therefore, the number of cases of apples are: 50

Answer 2

10x + 6(300-x) = 2000
4x + 1800 = 2000
4x = 200
x = 50

hope this help