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Amanda pours 3/4 of her water into Barbara’s empty bottle. Barbara then pours 3/5 of her water into Charlie’s empty bottle. Charlie then pours 1/2 of his water into David’s empty bottle. If David now has 18 ounces of water, how many ounces does Amanda still have?

Sagot :

Answer:

8

Step-by-step explanation:

David=18

charlie pours 1/2 which is 18 because that is how many david has and 18 is half of charlies thing. So charli has 36 cause 18 times 2 is 36

CHARLI=36

36 is 3/5 of barbra's so 3 divided by 36 is 12 and ther  are 2 more halfs so 12 times 2 is 24

BARBRA=24

24 is 3/4 of Amandas so you have to do 24 divided by 3 which is 8. so each 4th is 8 and there is one more 4th so it is 8

By: M

Division is defined as breaking down of larger quantity into smaller quantities equally. Vice versa, if we desire to calculate larger quantity on the basis of smaller quantities, we need to multiply the smaller quantity with their weights.

The quantity of water Amanda still have is [tex]20\: \rm ounces[/tex].

Solution:

Given:

Quantity of water David has is [tex]18\: \rm ounces[/tex].

Quantity of water with David is 1/2 of water in Charlie's bottle.

Therefore quantity of water Charlie had is [tex]\rm 18 \times 2 \:ounces = 36\:ounces[/tex]

Quantity of water Charlie had is 3/5 of water in Barbara's bottle.

Therefore quantity of water Barbara had is [tex]36\times \dfrac{5}{3} = 60\rm \:ounces[/tex]

Quantity of water Barbara had is 3/4 of water in Amanda's bottle.

Therefore quantity of water Amanda had is [tex]60\times \dfrac{4}{3} \rm \:ounces = 80\: ounces[/tex].

Water left with Amanda:

[tex]1 - \dfrac{3}{4}=\dfrac{1}{4}[/tex]   of total water i.e.

[tex]80\times \dfrac{1}{4}= 20\rm \:ounces[/tex]

Learn more about division and multiplication here:

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