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
Answer:
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
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
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 [tex]\frac{2200x + 900}{50}[/tex]
= [tex]\frac{2200x}{50} + \frac{900}{50}[/tex] pens
[tex]= 44x + 18[/tex] pens
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
