Question

Lisa, Felipe, and Justin have a total of $120 in their wallets. Lisa has $6 more than Justin. Felipe has 4 times what Justin has. How much does each have?

Answer 1

Let

x -----> Lisa's amount

y -----> Felipe's amount

z -----> Justin's amount

we have that

x+y+z=120 --------> equation A

x=z+6 ------> equation B

y=4z -----> equation C

substitute equation B and equation C in equation A

so

(z+6)+4z+z=120

solve for z

6z+6=120

6z=120-6

6z=114

z=$19

Find the value of x

substitute the value of z in equation B

so

x=19+6

x=$25

Find the value of y

substitute the value of z in equation C

y=4(19)

y=$76

therefore

Lisa's amount is $25

Felipe's amount is $76

Justin's amount is $19