Please explain how you got the answer The GoodSweet candy c

*Please explain how you got the answer :)

The Good-Sweet candy company makes solid chocolate Bunnies that are 2 inches tall using 3 ounces of chocolate. They decide that this year they want to make a 5-inch tall Bunny, using the exact same shape, i.e., making the new Bunny proportionally bigger by volume (l×w×):

(1) How much chocolate (in ounces) will the new Bunny need?

(2) If they want to make 10,000 2-inch and 2,000 5-inch Bunnies, and they can get high end milk chocolate for $15 per pound of chocolate, how much will the chocolate cost them?

Solution

2 inch tall bunnies require 3 ounces of chocolate

therefore, 5 inch tall bunny would require

2 / 5 = 3 / x

x = 15 / 2 = 7.5 ounces of chocolate

2) 10,000 2 inch bunny requires 10,000 * 3 = 30,000 ounces of chocolate = 1875 pounds

2000 5 inch chocolate requires 2000*7.5 = 15,000 ounces of chocolate = 937.5 pounds

therefore, total pounds of chocolate is 1875 + 937.5 = 2812.5 pounds

1 pound costs $ 15

2812.5 pounds will cost = 15* 2812.5 = $ 42187.5

so, chocolate will cost $ 42187.5