Verified Answer :

Final answer:

Tyrese will need 15 cups of water for 20 pounds of plaster powder, based on the ratio of 3 cups of water to 4 pounds of powder. This was calculated using a proportion. The resulting calculations show the water needed aligns with the initial mixing ratio.


Explanation:

Calculating Water for Plaster Mixing


Tyrese has a ratio of water to plaster powder when making plaster. He uses 3 cups of water for 4 pounds of plaster powder. We can set up a proportion to determine how much water he will mix with 20 pounds of powder.

Finding the Ratio


The ratio of water to plaster powder is:



  • 3 cups of water : 4 pounds of plaster

Setting Up the Proportion


We can express this relationship as:



  1. Let x = the amount of water (in cups) used with 20 pounds of plaster powder.

  2. Set up the proportion: 3 cups / 4 pounds = x cups / 20 pounds.

Solving the Equation


Cross multiply to solve for x:



  • 3 cups × 20 pounds = 4 pounds × x cups

  • 60 = 4x

  • x = 60 / 4

  • x = 15


Thus, Tyrese will need 15 cups of water to mix with 20 pounds of plaster powder.


Tape Diagram Representation


In a tape diagram, you would represent:



  • 4 equal sections to represent 4 pounds of plaster

  • Each section corresponds to 3 cups of water; thus, you can represent the total amount of water needed.


Learn more about plaster mixing here:

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