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
