Question

(a) yesterday, jessica tie - dyed 3 shirts using 17.7 grams of powdered dye. each gram of powdered dye required 7 liters of water. today, jessica would like to tie - dye 5 shirts using the same amount 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 5 shirts. amount of powdered dye used for each shirt: \boxed{} grams amount of water used for each shirt: \boxed{} liters diagram of 1 shirt, 1 shirt (labeled 2 shirts) with grams and liters sections, and two buttons: 5 and × (b) how much water is needed to tie - dye 5 shirts? \boxed{} liters two buttons: 5 and × explanation check

Explanation:

Step1: Find dye per shirt

To find the amount of powdered dye per shirt, divide total dye by number of shirts. So, \( \frac{17.7}{3} = 5.9 \) grams.

Step2: Find water per shirt

Each gram of dye needs 7 liters of water. So for 5.9 grams, water per shirt is \( 5.9 \times 7 = 41.3 \) liters.

Step3: Find water for 5 shirts (part b)

Multiply water per shirt by 5: \( 41.3 \times 5 = 206.5 \) liters.

Answer:

(a) Amount of powdered dye per shirt: \( 5.9 \) grams; Amount of water per shirt: \( 41.3 \) liters.
(b) Water for 5 shirts: \( 206.5 \) liters.