SOLUTION: Mr.Bob cashed $185 in his bank. He received $1 bills, $5 bills,and $10 bills
in this order.the numbers of these three types of bills he received were three consecutive integers. H
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in this order.the numbers of these three types of bills he received were three consecutive integers. H
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Question 530953: Mr.Bob cashed $185 in his bank. He received $1 bills, $5 bills,and $10 bills
in this order.the numbers of these three types of bills he received were three consecutive integers. How many bills of each type did he receive?
You can put this solution on YOUR website! 3 consecutive integers can be defined as:
x
x+1
x+2
.
We're told these correspond to $1 bills, $5 bills, and $10 bills.
.
x + 5(x+1) + 10(x+2) = 185
.
x +5x +5 + 10x + 20 = 185
.
16x + 25 = 185
.
16x = 160
.
x = 10 = number of $1 bills
x+1 = 11 = number of $5 bills
x+2 = 12 = number of $10 bills
.
Check the value to be sure this is the answer.
1(10) + 5(11) + 10(12) = 10 + 55 + 120 = 185
Correct.
.
Done.
You can put this solution on YOUR website! Mr.Bob cashed $185 in his bank. He received $1 bills, $5 bills,and $10 bills
in this order.the numbers of these three types of bills he received were three consecutive integers. How many bills of each type did he receive?
-----
# of $1 bills: x-1
# of $5 bills: x
# of #10bills: x+1
-----
Value Equation:
1*(x-1) + 5*x + 10*(x+1) = 185 dollars
------
x-1 + 5x + 10x + 10 = 185
16x = 176
x = 11
----
# of $1 bills = x-1 = 11-1 = 10
----
# of $5 bills = 11
----
# of $10 bills = x+1 = 12
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Cheers,
Stan H.
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