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The ratio of five-dollar bills to one-dollar bills in Armand
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10 Aug 2020, 10:46
10 Aug 2020, 10:46
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Question Stats:
73% (01:34) correct
26% (02:31) wrong based on 52 sessions
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The ratio of five-dollar bills to one-dollar bills in Armando’s wallet is 2: 3. When he made a $ 7 purchase, he paid for that purchase with only five-dollar bills, and with the smallest possible number of five-dollar bills. He received his change in one-dollar bills. After completing that transaction, the ratio of five-dollar bills to one-dollar bills was 1: 3. How many one-dollar bills did Armando have before his purchase?
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9
Re: The ratio of five-dollar bills to one-dollar bills in Armand
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12 Aug 2020, 19:54
12 Aug 2020, 19:54
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Let the number of 5 dollar bills be 2x
Let the number of 1 dollar bills be 3x
So we get the ratio 2x/3x=2/3 as desired
We are looking for 3x
She paid for a $7 purchase using $5 dollar bills only, and used the least possible $5 bills.
So she used 2 $5 dollar bills.
The change was 10-7=$3
and she got it back in only $1 dollar bills.
So she gets 3 $1 dollar bills
After this transaction her number of
$5 dollar bills is 2x-2
$1 dollar bills is 3x+3
The ratio
(2x-2)/(3x+3) = 1/3
6x-6=3x+3
3x=9
Final Answer: 9
Let the number of 1 dollar bills be 3x
So we get the ratio 2x/3x=2/3 as desired
We are looking for 3x
She paid for a $7 purchase using $5 dollar bills only, and used the least possible $5 bills.
So she used 2 $5 dollar bills.
The change was 10-7=$3
and she got it back in only $1 dollar bills.
So she gets 3 $1 dollar bills
After this transaction her number of
$5 dollar bills is 2x-2
$1 dollar bills is 3x+3
The ratio
(2x-2)/(3x+3) = 1/3
6x-6=3x+3
3x=9
Final Answer: 9
Re: The ratio of five-dollar bills to one-dollar bills in Armand
[#permalink]
04 Oct 2020, 06:23
04 Oct 2020, 06:23
chacinluis wrote:
Let the number of 5 dollar bills be 2x
Let the number of 1 dollar bills be 3x
So we get the ratio 2x/3x=2/3 as desired
We are looking for 3x
She paid for a $7 purchase using $5 dollar bills only, and used the least possible $5 bills.
So she used 2 $5 dollar bills.
The change was 10-7=$3
and she got it back in only $1 dollar bills.
So she gets 3 $1 dollar bills
After this transaction her number of
$5 dollar bills is 2x-2
$1 dollar bills is 3x+3
The ratio
(2x-2)/(3x+3) = 1/3
6x-6=3x+3
3x=9
Final Answer: 9
Let the number of 1 dollar bills be 3x
So we get the ratio 2x/3x=2/3 as desired
We are looking for 3x
She paid for a $7 purchase using $5 dollar bills only, and used the least possible $5 bills.
So she used 2 $5 dollar bills.
The change was 10-7=$3
and she got it back in only $1 dollar bills.
So she gets 3 $1 dollar bills
After this transaction her number of
$5 dollar bills is 2x-2
$1 dollar bills is 3x+3
The ratio
(2x-2)/(3x+3) = 1/3
6x-6=3x+3
3x=9
Final Answer: 9
I didnt understand the highlighted part?
