Two brothers are saving money to buy tickets to a concert. Their combined savings is $55. One brother has $15 more than the other. How much has each saved? Write an equation to solve.

To solve this problem, let us say that:

x = money of brother # 1

y = money of brother # 2

The sum is $55 therefore:

x + y = 55 - - - > equation 1

Further, we know that one of the brothers has 15 more money than the other, let us say that:

x = y + 15 - - - > equation 2

Combining equations 1 and 2 to find for the value of y:

(y + 15) + y = 55

2y = 40

y = 20

Calculating for x from equation 2:

x = 20 + 15

x = 35

Therefore each has saved $20 and $35.