Exercise 125 Page 484

What the middle and oldest daughter gets is given in terms of what the youngest daughter gets. Therefore, if we call what the youngest girl gets

x,

we can form the following algebraic expressions describing what the two other girls get.

Youngest : Middle : Oldest : x x + 35 2 x

Since Mr Nguyen divides

$ 775

among his daughters, we can write the following equation

x + (x + 35) + 2 x = 775

Let's solve this equation for

x .

x + (x + 35) + 2 x = 775

Remove parentheses

x + x + 35 + 2 x = 775

Add terms

4 x + 35 = 775

$LHS - 35 = RHS - 35$

4 x = 740

$LHS / 4 = RHS / 4$

x = 185

When we know what the youngest gets, we can figure out what the middle and oldest daughter get as well.

Youngest : Middle : Oldest : $ 185 $ 185 + $ 35 = $ 220 2 ($ 185) = $ 370