helen had 248 marbles more than ali.

Question

helen had 248 marbles more than ali. Helen gave 3/4 of her marbles to Ali, Ali had 364 marbles more than Helen. how many marbles did Ali have at first?

Answer 1

Ali has x

Helen has x+248

x+ (3/4)(x+248) = (1/4)(x+248) + 364

(7/4)x + 186 = (1/4)x + 62 + 364

(7/4)x + 186 = (1/4)x + 426

(3/2)x + 186 = 426

(3/2)x = 240

x = 160

Ali has 160

Helen has 408

3/4 * 408 = 3*102 = 306

is given to Ali..

He then has 466 and

Helen has 102 which

differs by 364