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.
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:
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.