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Emmet set up a bubble station for his little sister's birthday party. He filled a bubble machine
and a bottle for kids to blow their own bubbles. In the bubble machine, Emmet mixed 12
ounces of dish soap and 24 ounces of water. In the bottle, he mixed 5 ounces of dish soap
and 9 ounces of water. Which container had the greater ratio of dish soap to water?
The bubble machine had the greater ratio.
The bottle had the greater ratio.
Neither. The containers had the same ratio.


Sagot :

The bottle had the greater ratio.

Ratio of dish soap to water in bubble machine

Since Emmet filled the bubble machine with 12 ounces of dish soap and 24 ounces of water,

the ratio of dish soap to water in the bubble machine = amount of dish soap/amount of water

= 12 ounces/24 ounces

= 1/2

= 0.5 : 1

Ratio of dish soap to water in bottle

Also, in the bottle, he mixed 5 ounces of dish soap and 9 ounces of water,

the ratio of dish soap to water in the bottle = amount of dish soap in bottle/amount of water in bottle = 5 ounces/9 ounces

= 5/9

= 0.56 : 1

The greater ratio of dish soap to water

Since the ratio of dish soap to water in the bubble machine = 0.5 : 1 and the ratio of dish soap to water in the bottle is 0.56 : 1, the bottle has the greater ratio, since 0.56 > 0.5.

So, the bottle had the greater ratio.

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