Question

(a)Yesterday, Donna used 10.2 grams of powdered dye to tie-dye 3 shirts. Each gram of powdered dye required 6 liters of water. Today, Donna would like to tie-dye 7 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 7 shirts.

Amount of powdered dye used for each shirt:
grams
Amount of water used for each shirt:
liters


(b)How much water is needed to tie-dye shirts?

Answer 1

(a) Amount of powdered dye used for each shirt: 10.2/3 grams

Amount of water used for each shirt: 6 liters

(b) 7×6=42 liters of water are needed to tie-dye 7 shirts.

(a) Donna initially used a total of 10.2 grams of powdered dye to tie-dye 3 shirts. To find the amount of powdered dye used for each shirt, we divide the total amount by the number of shirts: 10.2/3 grams per shirt. Additionally, she used 6 liters of water for each gram of powdered dye. Therefore, the amount of water used for each shirt remains constant at 6 liters.

(b) To tie-dye 7 shirts, the total amount of water needed can be calculated by multiplying the water used for each shirt (6 liters) by the number of shirts (7). This results in a total of 42 liters of water needed to tie-dye the desired 7 shirts. The consistency in the amount of water per shirt allows for a straightforward calculation of the total water requirement based on the number of shirts to be tie-dyed.