Question

Kenny Walks away from a blackjack table with a total of $62 in $1 and $5 chips.if kenny has 26chips,how many are $1 chips and how many are $5 chips?

Answer 1

Let x = number of $1 chips
Let y = number of $5 chips.

How do you express "total of $62 in $1 and $5 chips" as an equation using x and y?

Answer 2

62x-1y=5

Answer 3

No. Be careful.

The number of $1 chips is x. x number of $1 chips are worth 1 * x = x.
The number of $5 chips is y. y number of $5 chips are worth 5 * y = 5y.

The sum of the values is x + 5y.
We know the total value is $62, so
x + 5y = 62

Answer 4

Oh that will be the first equation

Answer 5

so x+y1=62

Answer 6

sorry 1y=62

Answer 7

Right.
The second equation is simpler.
There are x number of $1 chips and y number of $5 chips. How many chips are there in total?

Answer 8

26chips

Answer 9

Yes, but using x and y, how many chips are there in total?

Answer 10

62+26=88chips

Answer 11

No. 62 is dollars. 26 is number of chips. You can't add them together.

Answer 12

Oh I did mistake on that

Answer 13

We started this problem by letting x and y represent two numbers. Look above to see what x and y represent.

Answer 14

we have 6chips

Answer 15

No.
We have x $1 chips and y $5 chips.
The numbers of chips are x and y.

Answer 16

The total chip is 26 divided by both 1 and 5 chips

Answer 17

That's how we started solving the problem, by letting x and y represent the numbers of chips.

Answer 18

There are x $1 chips and y $5 chips.
The total number of chips is
x + y
We are also told there are 26 chips, so we have:
x + y = 26
That's the second equation.

Answer 19

Now we have two equations representing this problem:

x + y = 26
x + 5y = 62

Now we can use the substitution method to solve it.

Answer 20

x=62-5y
x+y=26
x=57
57(x)+y=26
57+y=26
x=57
y=31

Answer 21

Check it

Answer 22

62 - 5y is not 57. 62 and 5y are not like terms, so they can't be combined together.

x + 5y = 62
Solve for x:
x = 62 - 5x
Substitute in other equation:
62 - 5y + y = 26
Solve for y

Answer 23

62-26=36
y=36

Answer 24

62 - 5y + y = 26
Add -5y and y on left side:
62 - 4y = 26
Subtract 62 from both sides:
-4y = -36
Divide both sides by -4:
y = 9

Answer 25

How did you get 4y

Answer 26

Now that we know y, we can find x using the equation
x + y = 26
x + 9 = 26
x = 17
The answer is 17 $1 chips and 9 $5 chips.

Now let's check:
17 + 9 = 26 chips (Correct)
17*$1 + 9*$5 = $17 + $45 = $62 (Correct)