a)Yesterday, Jina tie-dyed

5
shirts using
29.5
grams of powdered dye. Each gram of powdered dye required
7
liters of water. Today, Jina would like to tie-dye
8
shirts using the same amont of powdered dye for each shirt as yesterday.
Fill in the blanks below. Then use the diagram to show the powdered dye and water needed to tie-dye
8
shirts.

Amount of powdered dye used for each shirt:
grams
Amount of water used for each shirt:
liters
1 shirt
grams
liters
1 shirt
grams
liters
2 shirts
(b)How much water is needed to tie-dye
8
shirts?
liters

1 answer

To solve the problem, let's first find out how much powdered dye was used for each shirt yesterday and how much water is needed for the tie-dyeing process.

Step 1: Calculate the amount of powdered dye used for each shirt.

Yesterday, Jina used 29.5 grams of powdered dye for 5 shirts.

To find the amount of powdered dye per shirt: \[ \text{Amount of powdered dye per shirt} = \frac{29.5 \text{ grams}}{5 \text{ shirts}} = 5.9 \text{ grams/shirt} \]

Step 2: Calculate the amount of water used for each shirt.

Since each gram of powdered dye requires 7 liters of water, for each shirt: \[ \text{Water needed per shirt} = 5.9 \text{ grams} \times 7 \text{ liters/gram} = 41.3 \text{ liters/shirt} \]

Summary of Blank Values:

  1. Amount of powdered dye used for each shirt: 5.9 grams
  2. Amount of water used for each shirt: 41.3 liters

Now, let's calculate how much water is needed to tie-dye 8 shirts.

Step 3: Calculate total water needed for 8 shirts.

\[ \text{Total water for 8 shirts} = 41.3 \text{ liters/shirt} \times 8 \text{ shirts} = 330.4 \text{ liters} \]

Final Answer:

(b) The amount of water needed to tie-dye 8 shirts is 330.4 liters.