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

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 = $4 \times 38.83 =155.32$

Cost of 7 stone cylinders =  $7 \times 38.83 =271.81$

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, $8x+155.32=3x+271.81$

$5x=271.81-155.32$

$5x=116.49$

$x=\frac{116.49}{5}$

$x=23.298$

Hence each stone sphere cost is $23.298

Answer 2

If I am doing this right it should be 22.18