Asked by valaen
The ratio of number of $5 notes to the number of $10 notes that Ryan has was 4:3. After Ryan spent $140 worth of 5$ notes and 2/5 of $10 notes, the ratio became 2:3. What was the value of the $5 notes Ryan had at first?
Answers
Answered by
Reiny
At the start:
number of fives ---- 4x
number of tens ----- 3x
$140 in fives = 28 notes
so he has 4x-28 of the fives left over
he also spent 2/5 of his tens, so he has 3/5 of the tens left
or he has 3/5(3x) or 9x/5 tens left over
(4x-28)/( (9x/5)) = 2/3
12x - 84 = 18x/5
60x - 420 = 18x
42x = 420
x = 10
<b>So originally he had 40 fives, and
30 tens</b>
check:
after spending 28 of his 40 fives he has 12 fives left
after spending 2/5 of his 30 tens, he has 3/5 of 30, or
18 tens left.
Ratio of 12 : 18 = 2: 3
My answer is correct
number of fives ---- 4x
number of tens ----- 3x
$140 in fives = 28 notes
so he has 4x-28 of the fives left over
he also spent 2/5 of his tens, so he has 3/5 of the tens left
or he has 3/5(3x) or 9x/5 tens left over
(4x-28)/( (9x/5)) = 2/3
12x - 84 = 18x/5
60x - 420 = 18x
42x = 420
x = 10
<b>So originally he had 40 fives, and
30 tens</b>
check:
after spending 28 of his 40 fives he has 12 fives left
after spending 2/5 of his 30 tens, he has 3/5 of 30, or
18 tens left.
Ratio of 12 : 18 = 2: 3
My answer is correct
Answered by
valaen
Thank you so much Reiny!!!
Help a lot! :)
Help a lot! :)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.