Question

An architect plans to buy 8 stones spheres and 4 stone cylinders. For the same amount, she can buy 3 stone spheres and 7 stone cylinders. If one stone cylinder costs $38.83, how much does each stone sphere cost?

Answer 1

If I am doing this right it should be 22.18

Answer 2

$23.298

Explanation:

Let the cost of 1 sphere be x

Cost of 8 stone spheres = 8x

Cost of 3 stone spheres = 3x

Cost of 1 cylinder = $38.83

Cost of 4 stone cylinders =
`4 * 38.83 =155.32`

Cost of 7 stone cylinders =
`7 * 38.83 =271.81`

Now Cost of 8 stones spheres and 4 stone cylinders = 8x+155.32

Cost of 3 stone spheres and 7 stone cylinders = 3x+271.81

Now we are given that For the same amount, she can buy 3 stone spheres and 7 stone cylinders.

So,
`8x+155.32=3x+271.81`

`5x=271.81-155.32`

`5x=116.49`

`x=(116.49)/(5)`

`x=23.298`

Hence each stone sphere cost is $23.298