Sherry's paycheck was $1300.00. When she cashed her check at the bank, the teller gave her a total of 25 bills, both hundreds and twenties. How many twenties did the teller give Sherry?

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Answer 1 · 2018-05-01T20:42:58

The teller would give Sherry 15 twenties and 10 hundreds.

We can solve this by setting up a system of equations. One for the number of bill and one for the value of the money.

The first equation is Hundreds + Twenties = 25 bills

#h+t=25#

Since hundreds are worth $100 and twenties are worth $20 we can find the value by a second equation.

#100h + 20t = 1300#

Now rearrange the first equation to isolate one of the variables.
#h=25-t#

Plug this equation in for #h# in the second equation.

#100(25-t) + 20t = 1300#

Now use the distributive property to eliminate the parenthesis.
#2500-100t + 20t = 1300#

Now combine like terms.
#2500 - 80t = 1300#

Use the additive inverse to isolate the variable term.
#cancel2500 - 80t cancel(-2500) = 1300 - 2500#

#-80t = -1200#

Use the multiplicative inverse to solve for #t#

#(cancel(-80)t)/cancel(-80) = -1200/-80#

#t = 15# the number of twenties

#h=25-15#

#h = 10# the number of hundrerds