A basket of 2 apples, 4 oranges and 6 mangoes costs the same as a basket of 1 apple, 4 oranges and 8 mangoes,

Question

A basket of 2 apples, 4 oranges and 6 mangoes costs the same as a basket of 1 apple, 4 oranges and 8 mangoes, or a basket of 8 oranges and 7 mangoes. Then the number of mangoes in a basket of mangoes that has the same cost as the other baskets is

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Accepted Answer

13. Let the cost of an apple, an orange and a mango be a, o, and m respectively. Then it is given that: 2a+4o+6m = a+4o+8m or a = 2m. Also, a+4o+8m = 8o + 7m 10m-7m = 4o 3m = 4o. We can now express the cost of a basket in terms of mangoes only: 2a+4o+6m = 4m+3m+6m = 13m.