Orange juice concentrate is mixed with water in the ratio 2 : 5. This mixture is then mixed with lemonade in the ratio 3 : 4. What is the ratio of orange-juice concentrate to lemonade in the final mixture

kazza1969
May 7, 2015

#2**+10 **

Thanks Chris,

I like this question and your answer.

I do rations in rather weird ways. For basic quesions my way is REALLY easy.

BUT for harder questions I often get in a mess.

This is how I tacked this one.

Orange | orange and wter | water | lemonade |

2*(3/7) | 5*(3/7) | ||

7*(3/7) | 4 | ||

3 | 4 | ||

6/7 | 15/7 | 4 |

So the ratio of orange juice to lemonade is 6/7 : 4 = 6:28 = 3:14

Melody
May 7, 2015

#1**+10 **

For every 7 gallons of water in the original mixture, the orange juice concentrate comprises 2 gallons.

So, if this 7 gallons is mixed with lemonade in a ratio of 3 : 4....there must be 7 x (4/3) = 28/3 gallons of

lemonade in this mixture.

Then the ratio of orange juice concentrate to lemonade in this mixture is 2 : 28/3 = 6 : 28 = 3 : 14

CPhill
May 7, 2015

#2**+10 **

Best Answer

Thanks Chris,

I like this question and your answer.

I do rations in rather weird ways. For basic quesions my way is REALLY easy.

BUT for harder questions I often get in a mess.

This is how I tacked this one.

Orange | orange and wter | water | lemonade |

2*(3/7) | 5*(3/7) | ||

7*(3/7) | 4 | ||

3 | 4 | ||

6/7 | 15/7 | 4 |

So the ratio of orange juice to lemonade is 6/7 : 4 = 6:28 = 3:14

Melody
May 7, 2015