Question

An amount of money was shared between five boys. If the same amount

of money is shared between four girls, each girl would receive $100 more
than each boy. How much money is there?

Need an answer quickly.

Answer 1

2000 dollars

Explanation:

let's say each boy gets x dollars

each girl gets 100 more dollars than each boy, or 100+x dollars

money = total money amongst boys = x dollars for each boy = 5 * x as there are 5 boys

money = total money amongst girls = 100 + x dollars for each girl = (100+x) * 4 as there are 4 girls

set the two equal to each other

5*x = (100+x) * 4

expand

5x = 400 + 4x

subtract 4x from both sides to put all the variable terms on one side

x = 400

each boy gets 400 dollars

total money = 5 *x = 2000 dollars