Question

HELP ME EVERYONE PLZ

Clarissa is an artist and is making a large abstract sculpture for an exhibition.

She uses 12 pieces of glass for every pound of copper and 6.5 pounds of bronze for every 75 pieces of glass. She is using 22.5 pounds of copper in the sculpture.

How many pounds of bronze will she use in the sculpture?

A.
22.5 pounds
B.
11.54 pounds
C.
41.54 pounds
D.
23.4 pounds

Answer 1

Option D. 23.4 pounds

Explanation:

step 1

Find the pieces of glass for 22.5 pounds of copper in the sculpture.

using proportion

`(12)/(1)=(x)/(22.5) \\ \\x=22.5*12\\ \\x=270\ piece\ of\ glass`

step 2

Find the pounds of bronze used in the sculpture

using proportion

`(6.5)/(75)=(x)/(270) \\ \\x=270*6.5/75\\ \\x=23.4\ pounds`