Question

Clare mixes 2 1/2 cups of water with 1/3 cup of orange juice concentrate Han mixes 1 2/3 cups of water with 1/4 cup of orange juice concentrate whose orange juice concentrate is stronger

Answer 1

Hans concentration is greater.

Explanation:

`Concentration=\frac{\text{number of cups of orange juice}}{\text{number of cups of orange juice+number of cups of water}}`

For Clare,

`\text{number of orange cups}=(1)/(3) \\\text{number of water cups}=(5)/(2)`

Concentration=
`((1)/(3) )/((5)/(2) +(1)/(3)) =((1)/(3))/((17)/(6) )=(2)/(17)=0.117`

For Han,

`\text{number of orange cups}=(1)/(4)\\\text{number of water cups}=(5)/(3)`

Concentration=
`((1)/(4) )/((5)/(3) +(1)/(4)) =((1)/(4))/((23)/(12) )=(3)/(23)=0.130`

So,Hans concentration is greater.