Apple, carrot, and celery juices are mixed in a ratio 3 : 1 : 2. The amount of appe juice is 33 millimeters.

a) How much more apple juice is used in the mixture than carrot juice?

b) What is the total amount of the mixture?

Respuesta :

Answer:

A) 3 times more apple juice is used than carrot juice aka 22 more millimeters

B) 66 millimeters

Step-by-step explanation :

3 : 1 : 2     aka     33 : 11 : 22

You have the ratio, so you just have to divide 33/3 and you know you have to multiply that awnser times the other ratios.

So...

33/3 = 11

3 x 11 = 33

1 x 11 = 11

2 x 11 = 22

So the ratio is 33 : 11 : 22

Then, A is asking you how much more apple juice than carrot juice, so subtract ( amount of apple juice - amount of carrot juice )

33 - 11 = 22 millimeters more apple juice than carrot juice

Then, B is asking you how much juice is there in total. So just add all the juices together....

33+22+11 = 66

So 66 milimeters of juice all together

(a) The apple juice is 22 ml more than the carrot juice.

(b) The total amount of the mixture is 66 ml.

Ratio:

Important information:

  • The ratio of Apple, carrot, and celery is 3 : 1 : 2.
  • Amount of apple juice is 33 ml.

(a)

Let the quantity of Apple, carrot, and celery is 3x, x, 2x respectively.

[tex]3x=33[/tex]

[tex]x=11[/tex]

Difference between Apple and carrot juice is:

[tex]3x-x=2x[/tex]

[tex]3x-x=2(11)[/tex]

[tex]3x-x=22[/tex]

Therefore, the apple juice is 22 ml more than the carrot juice.

(b)

The total amount of the mixture is:

[tex]3x+x+2x=6x[/tex]

[tex]3x+x+2x=6(11)[/tex]

[tex]3x+x+2x=66[/tex]

Therefore, the total amount of the mixture is 66 ml.

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