Answered

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Suppose 13 oranges weigh as much as 2 mangoes and 1 papaya.Furthermore,4 oranges and 1 mango weigh as much as 1 papaya.How many oranges weigh as much as 1 papaya?

Sagot :

13 oranges = 1 papaya and 2 mangoes
1 papaya = 4 oranges and 1 mango

1 mango = 3 oranges
1 papaya = 7 oranges

7 oranges weigh as much as 1 papaya... 
Gizidn
a. 13 oranges = 1 papaya + 2 mangoes
b. 1 papaya = 4 oranges + 1 mango
.....so when 1 papaya in a. is changed by the value of b.
a. 13 oranges = 4 oranges + 1 mango + 2 mangoes
.....by addition principle of equality
a. 13 oranges - 4 oranges = 4 oranges - 4 oranges + 1 mango + 2 mangoes
a. 9 oranges = 3 mangoes or 3 oranges = 1 mango

.....so when b. is changed by the value of 1 mango = 3 oranges
b. 1 papaya = 4 oranges + 3 oranges
b. 1 papaya = 7 oranges
Therefore, 1 papaya is equal to 7 oranges