Question

Keiko has a total of $ 5200 comma which she has invested in two accounts. The larger account is $ 900 greater than the smaller account.​ (Let x be the amount of money in the larger account and y be the amount of money in the smaller​ account.)

Answer 1

Keiko has a total of $5200

x is the amount of money in larger account

y is the amount of money in smaller account

x - y = $900

and x + y = $5200

This creates two simultaneous equations:

x - y = $900 ... (i)

x + y = $5200 ... (ii)

Adding (i) and (ii) :

2x = $6100 , x = $3050

y = x - $900 = $3050 - $900 = $2150

The amount of money in larger account (x) = $3050

The amount of money in smaller account (y) = $2150