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?

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micah2147 micah2147 · Answer 1 · 2019-08-22T03:23:15+02:00

If I am doing this right it should be 22.18

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wifilethbridge wifilethbridge · Answer 2 · 2019-10-01T07:53:34+02:00

Answer:

$23.298

Step-by-step 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 = [tex]4 \times 38.83 =155.32[/tex]

Cost of 7 stone cylinders = [tex]7 \times 38.83 =271.81[/tex]

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, [tex]8x+155.32=3x+271.81[/tex]

[tex]5x=271.81-155.32[/tex]

[tex]5x=116.49[/tex]

[tex]x=\frac{116.49}{5}[/tex]

[tex]x=23.298[/tex]

Hence each stone sphere cost is $23.298