Question

A spice mix contains coriander and cumin in the ratio 1/2 cup : 1/4 cup . A cup of coriander is 80 grams. A cup of cumin is 100 grams. Work out the mass of 6 cups of the spice mix.

Answer 1

Simplifying the ratio given above by dividing both sides by 1/4 will give us,
                                       2: 1  (coriander : cumin)
6 cups of the spice mix is therefore 4 cups coriander and 2 cups of cumin. Multiplying both number of cups by their respective masses will give us the answer of 320 grams coriander and 200 grams cumin. 

Answer 2

Answer:

Total mass of the mixture is 520 grams.

Step-by-step explanation:

The ratio of coriander and cumin in the mixture is $\frac{1}{2}:\frac{1}{4}$cups.

Therefore, the quantity of coriander in 6 cups will be = $\frac{\frac{1}{2} }{\frac{1}{2}+\frac{1}{4}}\times 6$

= $\frac{\frac{1}{2}}{\frac{3}{4}}\times 6$

= $\frac{1}{2}\times \frac{4}{3}\times 6$

= 4 cups

And number of cups of cumin = 6 - 4

                                                  = 2 cups

Since a cup coriander weighs 80 grams and cumin weighs 100 grams.

Amount of coriander in the mixture = 4×80

                                                           = 320 grams

Amount of cumin in the mixture = 2×100

                                                    = 200 grams

Total mass of the mixture = 320 + 200

                                          = 520 grams.