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A cashier has 26 bills consisting of three times as many ones as fives, one less ten than fives, and the rest twenties. If the...Asked by Valeria
A cashier has 26 bills consisting of three times as many ones as fives, one less ten than fives, and the rest twenties. If the value is $120, find how many of each she has.
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Answered by
oobleck
u+f+t = 26
u = 3f
t = f-1
u+5f+10t+20x = 120
Before we try to solve that mess, we know u is a multiple of 5 (because the total is a multiple of 5, and all the other bills are worth multiples of 5). It is also a multiple of 3, so let's say there are 15 ones and 5 fives.
That gives t=6, so there are 6 tens.
Adding up all the values, we see that 15+25+60+20x = 120
That gives us 1 twenty.
You have a typo. It should have said there were one less fives than tens.
u = 3f
t = f-1
u+5f+10t+20x = 120
Before we try to solve that mess, we know u is a multiple of 5 (because the total is a multiple of 5, and all the other bills are worth multiples of 5). It is also a multiple of 3, so let's say there are 15 ones and 5 fives.
That gives t=6, so there are 6 tens.
Adding up all the values, we see that 15+25+60+20x = 120
That gives us 1 twenty.
You have a typo. It should have said there were one less fives than tens.
Answered by
Valeria
:{ how do I know I can trust your answer?
Answered by
iExplore
He's got that person icon next to his name, it means he's highly qualified.
Answered by
oobleck
you can also trust the answer, because it fits all the conditions.
That's how you can trust it. It works when checked.
When you do a problem, don't you check your answer to see whether it's right?
That's how you can trust it. It works when checked.
When you do a problem, don't you check your answer to see whether it's right?
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