Question

Maya makes trail mix by combining 1/3 cup of mixed nuts, 1/4 cup of dried fruit, 1/6 cup of chocolate morsels. What is the total amount of ingredients in her trail mix

Answer 1

The total amount of trial mix made by Maya is
`(9)/(12)\ \ \ Or\ (3)/(4)`.

Explanation:

Given,

Amount of mixed nuts =
`(1)/(3)\ cup`

Amount of dry fruits =
`(1)/(4)\ cup`

Amount of chocolate morsels =
`(1)/(6)\ cup`

We have to find out the total amount of trial mix made by Maya.

Solution,

Total amount of trial mix is the sum of amount of mixed nuts, amount of dried fruit and amount of chocolate morsels.

So we can frame the above sentence in equation form as;

Total amount of trial mix = Amount of mixed nuts + Amount of dry fruits + Amount of chocolate morsels

On putting the given values, we get;

Total amount of trial mix =
`(1)/(3)+(1)/(4)+(1)/(6)`

Here we have to add the fractions.

For this we will make the denominator same.

Total amount of trial mix =
`(1*4)/(3*4)+(1*3)/(4*3)+(1*2)/(6*2)=(4)/(12)+(3)/(12)+(2)/(12)=(9)/(12)\ \ \ Or\ (3)/(4)`

Hence The total amount of trial mix made by Maya is
`(9)/(12)\ \ \ Or\ (3)/(4)`.