Lynn had a total of 32 pieces of $2 and $100 notes at first. She spent
38 of the number of $2 notes and received another 7 pieces of $100 notes from her mother. After that, the number of $100 notes she had was
12 of the remaining notes. How much money did Lynn have at first?
|
$2 |
$100 |
Total |
Before |
8 u |
5 u - 7 |
32 |
Change |
- 3 u |
+ 7 |
|
After |
5 u |
|
|
Comparing $2-notes and $100-notes |
1x5 = 5 u |
1x5 = 5 u |
|
The number of $2-notes and $100-notes in the end is the same.
The number of $2-notes in the end is repeated. Make the number of $2-notes in the end the same. LCM of 1 and 5 is 5.
Number of notes at first
= 8 u + 5 u - 7
= 13 u - 7
13 u - 7 = 32
13 u = 32 + 7
13 u = 39
1 u = 39 ÷ 13 = 3
Number of $2-notes at first
= 8 u
= 8 x 3
= 24
Total value of $2-notes at first
= 24 x 2
= $48
Number of $100-notes at first
= 5 u - 7
= 5 x 3 - 7
= 15 - 7
= 8
Total value of $100-notes at first
= 8 x 100
= $800
Amount that Lynn had at first
= 48 + 800
= $848
Answer(s): $848