Question

A paste is use to cover a billboard it’s made by mixing the following ingredients 4 parts powder ,three parts water , 2 parts resin and one part hardener .to cover one billboard requires 30 pounds of this paste .how many total pounds of resin are required to cover 4 billboards

Answer 1

To cover one billboard, the paste requires mixing specific amounts of powder, water, resin, and hardener. The total weight of resin required to cover 4 billboards is 24 pounds.

Step-by-step explanation:

To cover one billboard, the required amount of paste is made by mixing 4 parts powder, 3 parts water, 2 parts resin, and 1 part hardener. Therefore, the total weight of the paste for one billboard is:

1. Powder: 4 parts out of a total of 10 parts (4 + 3 + 2 + 1) = 4/10 * 30 pounds = 12 pounds
2. Water: 3 parts out of a total of 10 parts = 3/10 * 30 pounds = 9 pounds
3. Resin: 2 parts out of a total of 10 parts = 2/10 * 30 pounds = 6 pounds
4. Hardener: 1 part out of a total of 10 parts = 1/10 * 30 pounds = 3 pounds

Now, to calculate the total weight of resin required to cover 4 billboards, we multiply the weight required for one billboard by 4:

Total weight of resin for 4 billboards = 6 pounds (resin required for one billboard) * 4 = 24 pounds

Answer 2

The total number of parts to the paste is 4+3+2+1 = 10. Of those, 2 parts are resin. If the "parts" are equal weight, then 2/10 of the weight is resin.

One billboard requires 30 pounds of paste, so 4 billboards will require 4·30 = 120 pounds. If 2/10 of the paste is resin, then (2/10)·(120 pounds) of resin will be required, or 24 pounds of resin.