Question

wyatt has (2x-1) one-dollar bills and (4x + 2) five dollar bills. Susan has 3 x dollars more than Wyatt. Find the total amount of money that Wyatt has in terms of x. Find the number of pens that Wyatt can buy if each pen costs 50 cents. If x = 21, find how much oney Susan will have now if Wyatt gives her had the number of five dollar bills that he has.

Answer 1

Answer:

• Wyatt has 22x + 9 dollars
• Wyatt can buy $44x + 18$ pens
• Susan has 901 dollars

Step-by-step explanation:

Topic: Algebra

Given:

Wyatt

: 1 dollar bills; 2x - 1

: 5 dollar bills; 4x + 2

Susan has 3x dollars more than Wyatt

• Find the total amount of money that Wyatt has in terms of x.

This is done by multiplying the dollar bill by the respective amount

Amount = (2x - 1) * 1 dollar bills + (4x + 2) * 5 dollar bills

Amount = 2x - 1 + 20x + 10 --- Collect like terms

Amount = 2x + 20x - 1 + 10

Amount = 22x + 9 dollars

Wyatt has 22x + 9 dollars

• Find the number of pens that Wyatt can buy if each pen costs 50 cents.

Given that 1 dollar = 100 cents

And each pen costs 50 cents.

First, we convert the amount Wyatt has to cent.

22x + 9 dollars = (22x + 9) * 100 cents

22x + 9 dollars = 2200x + 900 cents

If 50 cents can buy a pen,

Then 2200x + 900 cents can buy $\frac{2200x + 900}{50}$

= $\frac{2200x}{50} + \frac{900}{50}$ pens

$= 44x + 18$ pens

• If x = 21, find how much money Susan will have now if Wyatt gives her had the number of five dollar bills that he has.

If Wyatt has a total of 22x + 9 dollars

Susan has 3x + 22x + 9 = 25x + 9 dollars

Number of 5 dollar bills wit Wyatt = 5 * (4x + 2)

So, Susan has a total of 22x + 9 + 5 (4x + 2)

Total = 22x + 9 + 20x + 10

Total = 42x + 19

if x = 21

Then,

Total = 42(21) + 19

Total =882+19

Total = 901 dollars

Answer 2

Answer:

a) $ 22x -9

b) 44x - 18

c) $319

Step-by-step explanation:

Given that,

number of $1 bills wyatt has = (2x-1)

number of $5 bills wyatt has = (4x + 2)

The total amount of money that Wyatt has in terms of x

(2x - 1) + 5(4x + 2)

= 2x - 1 + 20x + 10

= $ 22x -9

The number of pens that Wyatt can buy if each pen costs 50 cents

$(22x - 9) * 100

= 2200x - 900 cents / 50

= 44x - 18

If x = 21, amount of money Susan will have now if Wyatt gives her half the number of five dollar bills that he has

( 5 (4x + 2) / 2) + ( 2 (21) - 1)

= 215 + 41

= 256

As we know that Susan has $3x more than Wyatt

So,

256 + 3x

= 256 + 3(21)

= $319