P5/P6 Math: 3 Item Types with Different Quantities and Values

Such questions uses fraction and multiples(ratio) to give a breakdown of the distribution of 3 different items. Each of the item have different values and the total value of all quantities of 3 items is also provided.

Such questions are common in Paper 2 of P5 exams.
Calculator usage is allowed.

Erica bought a number of durians,watermelons and jackfruits 
from the market and spent $620 altogether.
1/2 of all the fruits bought were durians.
The ratio of the number of watermelons to jackfruits bought was 3:2.
Each durian costs $20, each watermelon $4 and each jackfruit was $6.

How many durians did Erica buy?



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