problem solving

Question

Gabriel and Michael brought an equal amount of money for shopping.

Gabriel spent P4750 and Michael spent P17500. Michael’s remaining money is

4/7 of what Gabriel had left. How much money was left to Gabriel after

shopping?

Answer 1

X is the amount they brought for shopping

Gabrel has X-4750 and Michael has X-17500

(4/7)(X-4750) = X-17500

(4/7)x - (19000/7) = X - 17500

-19000/7 = (3/7)X - 17500

-19000/7 + 17500 = (3/7)x

14785 + 5/7 = (3/7) x

(7/3)(14785 + 5/7) = x

34498 + 1/3 + 5/3 = x

x= 34500

Gabriel: 34500 - 4750=29750

Michael: 34500 - 17500 = 17000

17000/29750 = 1700/2975 = 4/7

upon dividing by 425

so yes, the answer checks

x= 34500