Question

There are 15 eggs inside the box. 4 hatched and 6 were cooked. The farmer sold 2 more eggs for 30 pesos and spent the money to buy a 20 peso aluminum coil. If the farmer were to sell the untouched eggs for 40 pesos, The chicks for 50 pesos, and the cooked for 10 pesos, how much money will he get if a costumer bought all the eggs with 10 percent off discount

Answer 1

Let eggs=x

When divided by 2,3,4,5 and 6, the remainder is always one less than the divisor

Thus, x is one less than LCM(2,3,4,5,6) OR one less than a multiple of the same.

Thus, x is one less than LCM(2,3,4,5,6) OR one less than a multiple of the same.

LCM=60

now,

x= (60-1) OR (120-1) OR (180-1)

60-1= 59

NOT divisible by 7

120-1=119

Maybe x= 119

180-1= 179

Cannot be over 150.

We can safely conclude that x= 119

The trader was carrying 119 eggs. 

I hope it helps

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