Question

there are between 50 and 60 number of eggs in a basket when loza counts by 3's , there are 2eggs left over . when she counts by 5's , there are 4 left over . how many eggs are there in the basket?

Answer 1

Answer:

59

Step-by-step explanation:

3 x 19 = 57

57+2=9

11 x 5 = 55

55 + 4 = 59

Answer 2

There are 59 eggs in the basket.

Step-by-step explanation:

Given:

• There are between 50 and 60 number of eggs in a basket .
• when loza counts by 3's , there are 2eggs left over .

There are 3 possibilities

$\rightarrow \: 3 \times 17 + 2 = 53 \\ \rightarrow \:3 \times 18 + 2 = 56 \\ \rightarrow \:3 \times 19 + 2 = 57$

• when she counts by 5's , there are 4 left over .

There are 2 possibilities

$\rightarrow \:5 \times 10 + 4 = 54 \\ \rightarrow \:5 \times 11 + 4 = 59$

So, the common number is 59.

There are 59 eggs in the basket.