Problema Solution

Kala, Carlos, and Alonzo have a total of $83 in their wallets. Alonzo has &8 less than Kala. Carlos has 3 times what Alonzo has. How much do they have in their wallets?

Answer provided by our tutors

let the amount kala has be k, the amount alonzo has be a, and the amount carlos has be c

in total they have $83, so you have the equation:

a+c+k = 83

alonzo has $8 less than kala so you have the equation

a = k-8

carlos had 3 times what alonzo has so you have the equation:

c = 3a

substiute the equation for a into this

c = 3a

c = 3(k-8)

c = 3k - 24

substitute the equations for a & c involving k into the first equation

a+c+k = 83

(k-8) + (3k - 24) + k = 83

k - 8 + 3k - 24 + k = 83

5k -32 = 83

5k = 115

k = 23

substitute this back into the equations for a and c

a = k-8

a = 23 - 8

a = 15

c = 3k - 24

c = 3(23) - 24

c = 45

therefore, kala has $23, carlos has $45, and alonzo has $15