Keiko, John and Alonzo have a total of $75 in their wallets. John has 2 times what Alonzo has. Alonzo has $7 less thank Keiko. How much do they have in their wallets?

Question

I’m a bit confused. Thanks!

Answer 1

K + J + A = 75

J = 2A

A = K-7

K=A+7

A+7 + 2A + A = 75 = $75

4A = 75-7 = 68

A = 68/4 = 17 = $17

J=2A =2(17) = 34 = $34

K = A +7 = 17+7 = 24 = $24

17+34 +24 = 75

You have 3 equations, 3 unknowns, so by substitution of one equation into the other, you can solve for one variable, then for the others.

Keiko has $24, John has $34, Alonzo has $17

That adds up to $75 and satisfies the other two equations as well.

John has twice Alonzo, 34= twice 17

and Alonzo has 7 less than Keiko, 17 = 24-7