Question

if $116 is is divided among 150 children such that each girl and each boy gets 50 cents and $1 respectively then how many boys are there​

Answer 1

Answer:

There are 82 boys.

Step-by-step explanation:

Given the total amount = $ 116

Total children = 150

Let the number of girls be x and the number of boys be y

=> x + y = 150                          --(i)

As each girl gets 50 cents

We know that 100 cents = $ 1

Therefore, total amount given to all the girls = x * $\frac{50}{100}$

                                                                          = 0.5x

As each boy gets $ 1

Total amount given to all the girls = y * 1

                                                       = y

Therefore, the total amount = 0.5x + y

=> 116 = 0.5x + y                         --(ii)

Solving equation (i) and (ii)

=> 150 - 116 = x - 0.5x

=> 34 = 0.5x

=> x = 68

Putting x = 68 in equation (i)

=> 68 + y = 150

=> y = 150 - 68

=> y = 82

Therefore, there are 82 boys.