Q:

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

Accepted Solution

A:
Answer:The number of eggs in the basket is 56Step-by-step explanation:Given as :Let The number of eggs in the basket = 3x + 5xWhen 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 = 7So, the number of eggs = 3 × 7 + 5 × 7                                         = 21 + 35 = 56 Hence The number of eggs in the basket is 56   Answer