Question

Marcella McCall deposits $969 in a combination of cash and checks. She recalls that the checks she deposited totaled two times the amount of cash she deposited. What amount of checks did she deposit?

Answer 1

gonna set up a system of 2 equations with 2 variables

Answer 2

let
C= check
H = cash

Answer 3

Total = cash + checks
and

checks = 2(cash)

Answer 4

make sense so far?

Answer 5

so i divide 969 by 2?

Answer 6

Deposited 969 dollars in cash and checks

969 = C + H

Checks = 2 times the amount of cash

C = 2*H

Answer 7

substitute the second into the first

969 = 2*H + H

Answer 8

whats h ?

Answer 9

H = Cash amount
C = Check amount

so you have

969 = 3*H

H = 323 dollars in cash

Answer 10

323?

Answer 11

so why do i divide it by 3?

Answer 12

C= Check
H= Cash

969 = C +H and C = 2H

Sub second C=2H into first equation

969 = 2H + H
969 = 3H
H = 323

323 dollars is cash

From second equation, C=2H

C=2(323) = 646

646 dollars in Check

Answer 13

As a check, test if the 2 values found agree with both equations....

Total = Checks + Cash
969 = 646 + 323 TRUE, checks out good

Checks = 2 times Cash
646 = 2(323) TRUE, Checks out good

Answer 14

you have another one you want to try?

Answer 15

ooh i understand Thank you (:

Answer 16

no prob, just got to get used to translating sentences into the equations :)