Question

If Michael gave 1/12 of his money to Sally and 1/5

of his remaining money to Heidi. If he still had

$704, how much money did he have originally?

Answer 1

k

Answer 2

tips?

Answer 3

let M be the money he had originally....

Answer 4

k

Answer 5

so...
[M - (M/2)] - (1/5)[M - (M/2)] = 704

Answer 6

so...

Answer 7

ehh

Answer 8

can't I backsolve the problem?

Answer 9

\(\Large [M - (\color {red}{M/2})] - \color {blue}{(1/5)[M - (M/2)]} = 704 \)

the red quantity is what he gave to sally...
the blue quantity is what he gave to Heidi.....
after giving away that money, he still has 704 left....

Answer 10

k...

Answer 11

so

Answer 12

yeah... i guess u could back track to solve this but i think doing the algebra should accomplish the same task...

solve for M...

Answer 13

I got M-M/2-1/5[M-m/2]=704

Answer 14

M/2-M/10?

Answer 15

ehh

Answer 16

I need help solving this equation

Answer 17

could you help me?

Answer 18

= ($704/[1 - 1/5])/(1 - 1/12)
= ($704/[5/5 - 1/5])/(12/12 - 1/12)
= ($704/[4/5])/(11/12)
= ($704[5/4])/(11/12)
= $880(12/11)
= $960

Answer: $960

Answer 19

wait a minute...

Answer 20

ty

Answer 21

that simplied the problem alot

Answer 22

:)

Answer 23

see ya for now

Answer 24

\(\Large [M - (\color {red}{M/2})] - \color {blue}{(1/5)[M - (M/2)]} = 704 \)
\(\Large [M - \frac{M}{2}] - \frac{1}{5}[M - \frac{M}{2}] = 704 \)

Answer 25

oops!!! 1/12... i read it as 1/2....

sorry....