# Pls help with this math question ?

Linda received twice as much profit on her investment as Ella did. Kris received $200 more than Linda. If the total profit was $1700, how much did KRIS receive?

Thx

### 3 Answers

- ?Lv 71 month ago
> Linda received twice as much profit on her investment as Ella did.

TRANSLATION. L = 2E...............[1]

> Kris received $200 more than Linda.

TRANSLATION. K = L+200.........[2]

> If the total profit was $1700,

TRANSLATION. E +L + K = 1700.........[3]

> how much did KRIS receive?

TRANSLATION. Solve for K

// You have 3 equations. Since we're solving for K,

// get L and E in terms of K.

// Rewrite [2] solving for L

K = L+200.........[2]

L = K -200.........[2a]

// Use [2a] to rewrite E in terms of K

L = 2E..............[1]

E = L/2

E (K-200)/2.......[1a]

// Now use [1a] and [2a] to rewrite [3] in terms of K

E +L + K = 1700.........[3]

(K-200)

---------- + (K-200) + K = 1700

...2

// Solve for K

(K-200) + 2(K-200) + 2K = 2(1700)

K - 200 + 2K - 400 + 2K = 3400

5K - 600 = 3400

5K = 4000

K = 800...................ANS

- llafferLv 71 month ago
Let l = Linda's profit

Let e = Ella's profit

Let k = Kris' profit

Linda had twice as Ella:

l = 2e

Kris received $200 more than Linda:

k = 200 + l

The total profit was $1,700:

l + e + k = 1700

We have a system of two equations and two unknowns. Let's start with substituting the expression (200 + l) for "k" in the last equation, then simplify:

l + e + k = 1700

l + e + 200 + l = 1700

2l + e = 1500

Now substitute the expression (2e) in for "l" and simplify, solve for e:

2(2e) + e = 1500

4e + e = 1500

5e = 1500

e = 300

Now that we have "e", we can work back to solve for "l" and "k":

l = 2e

l = 2(300)

l = 600

k = 200 + l

k = 200 + 600

k = $800 is Kris' profit