Respuesta :
Answer:
The number of eggs in the basket is 56
Step-by-step explanation:
Given as :
Let The number of eggs in the basket = 3x + 5x
When Loza counts 3's , there are 2 eggs left over
I.e , 3 ( x - 2 )
And When Loza counts 5's , there are 4 eggs left over
I.e 5 ( x - 4 )
∴ 3 x - 6 = 5 x - 20
Or, 20 - 6 = 5 x - 3 x
Or, 14 = 2 x
∴ x = 7
So, the number of eggs = 3 × 7 + 5 × 7
= 21 + 35 = 56
Hence The number of eggs in the basket is 56 Answer
Answer:
Total Number of eggs in the basket = 59
Step-by-step explanation:
The n be number of eggs and n is between 50 and 60.
So, the possible outcomes are 50, 51, 52, .... , 59 and 60.
If the eggs are counted in 5's, the left over eggs are 4.
Hence, the number of eggs is NOT COMPLETELY DIVISIBLE by 5
So, n ≠ 50, 55 and 60.
If the eggs are counted in 3's the leftover eggs are 2.
Hence, the number of eggs is NOT COMPLETELY DIVISIBLE by 3
n ≠ 51, 54, 57 and 60.
Now, the possible values of n = 52, 53, 56, 58 and 59.
Checking for 52, when counted in 5, left over eggs are 2(as 5 x 10=50)
Checking for 53, when counted in 5, left over eggs are 3(as 3 x 10=50)
Checking for 56, when counted in 5, left over eggs are 1
Checking for 58, when counted in 5, left over eggs are 3
Checking for 59, when counted in 5, left over eggs are 4 and when counted in 3, left over eggs are 2.
Hence, TOTAL NUMBER OF EGGS IN THE BASKET ARE 59 as it satisfies bot the given conditions.
