Question

Tanya has ten bills in her wallet. She has a total of $40. If she has one more $5 bill than $10 bills, and two more $1 bills than $5 bills, how many of each does she have? (There are two ways of working this problem. See if you can do it both ways.) EXPLAIN IT and SHOW STEPS PLEASE.

Answer 1

Straight algebraic (x,x+1,x+3, etc) or
Logical deduction (Must be less than 4 tens etc)

Answer 2

\(\Large \color{purple}{5(x + 1) + 10x + 1(x + 3) }\)
\(\Large \color{purple}{ 5x + 5 + 10x + x + 3 }\)
\(\Large \color{purple}{ 16x + 8 = 40 }\)
\(\Large \color{purple}{ 8(2x + 1)=40 }\)
\(\Large \color{purple}{ 2x + 1 = 5 }\)
\(\Large \color{purple}{ 2x = 4 }\)
\(\Large \color{purple}{ x = 2 }\)

Now, there are 3 $5 notes, 2 $10 notes, 5 $1 notes

Answer 3

Can you understand how this went? @Albert0898

Answer 4

Not really.

Answer 5

Hmm, see, there are 10 notes, that doesn't really matter.
See, so she has one more $5 note than the $10 notes. To calculate money, we must multiply the money by the number of notes. Simple.
5(x + 1) + 10(x) + 1(x + 3) = 40
Solve it now.

Answer 6

5x + 5 + 10x + 1x + 3 = 40
16x + 8 = 40
16x = 32
x = 2

Can you just explain to me this sentence... "she has one more $5 bill than $10 bills, and two more $1 bills than $5 bills"?

Answer 7

@ParthKohli

Answer 8

Okay, so like if you have six $5 bills and five $10 bills, then you have one more $5 bill than you have $10 bills.

Answer 9

See the answer, we have one more 5 dollar note than the number of 10 dollar notes.

Answer 10

BILLS POBLEMS


Let X = 10 dollar bills

then , the 5 dollar bills = X +1

and the 1 dollar bills = X + 3


Now, you have to multilpy each expression by its corresponding monetary value,

Equation :

10 X + 5 (X +1) + X + 3 = 40

16 X = 32

X = 2

So , 10 dollar bills = 2

5 dollar bills = 2+ 1 = 3

1 dollar bills = 2 + 3 = 5

Verification : ($10)2 + ($5)3 + ($1)5 = 40

$20 + $15 + $5 = $40