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?

Answer 1

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

So originally he had 40 fives, and
30 tens

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

Answer 2

Thank you so much Reiny!!!
Help a lot! :)