Ivory had a total of 127 pieces of $50 and $5 notes at first. She spent
27 of the number of $50 notes and received another 5 pieces of $5 notes from her mother. After that, the number of $5 notes she had was
12 of the remaining notes. How much money did Ivory have at first?
|
$50 |
$5 |
Total |
Before |
7 u |
5 u - 5 |
127 |
Change |
- 2 u |
+ 5 |
|
After |
5 u |
|
|
Comparing $50-notes and $5-notes |
1x5 = 5 u |
1x5 = 5 u |
|
The number of $50-notes and $5-notes in the end is the same.
The number of $50-notes in the end is repeated. Make the number of $50-notes in the end the same. LCM of 1 and 5 is 5.
Number of notes at first
= 7 u + 5 u - 5
= 12 u - 5
12 u - 5 = 127
12 u = 127 + 5
12 u = 132
1 u = 132 ÷ 12 = 11
Number of $50-notes at first
= 7 u
= 7 x 11
= 77
Total value of $50-notes at first
= 77 x 50
= $3850
Number of $5-notes at first
= 5 u - 5
= 5 x 11 - 5
= 55 - 5
= 50
Total value of $5-notes at first
= 50 x 5
= $250
Amount that Ivory had at first
= 3850 + 250
= $4100
Answer(s): $4100