Keisha, Frank, and Deon have a total of $102 in their wallets. Deon has $10 less than Keisha. Frank has two times what deon has. how much do they have in their wallets?

Question

Keisha, Frank, and Deon have a total of $102 in their wallets. Deon has $10 less than Keisha. Frank has two times what deon has. how much do they have in their wallets?

Answer 1

Let's give each person their own variable so we can calculate it easier.

Keisha = K Frank= F and Deon=D

We know that all together they have $102, so K + F + D = 102

Deon has $10 less then Keisha, so D = K-10

Frank has two times what deon has, so F = 2D

We now have a system of equations we can use to solve.

Let's substitute the last equations into the first one.

So K+F+D = 102 turns into K + 2D + K - 10 = 102

Let's replace the D with K-10 so we can solve for K.

K + 2(K-10) + K - 10 = 102

K + 2K - 20 - 10 = 102

K + 2K -30 = 102

3K - 30 = 102

3K = 132

K = 44

So Keisha has 44, Deon has 34, and Frank has 68.