Wendy had a total of 35 pieces of $50 and $100 notes at first. She spent
38 of the number of $50 notes and received another 4 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 Wendy have at first?
|
$50 |
$100 |
Total |
Before |
8 u |
5 u - 4 |
35 |
Change |
- 3 u |
+ 4 |
|
After |
5 u |
|
|
Comparing $50-notes and $100-notes |
1x5 = 5 u |
1x5 = 5 u |
|
The number of $50-notes and $100-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
= 8 u + 5 u - 4
= 13 u - 4
13 u - 4 = 35
13 u = 35 + 4
13 u = 39
1 u = 39 ÷ 13 = 3
Number of $50-notes at first
= 8 u
= 8 x 3
= 24
Total value of $50-notes at first
= 24 x 50
= $1200
Number of $100-notes at first
= 5 u - 4
= 5 x 3 - 4
= 15 - 4
= 11
Total value of $100-notes at first
= 11 x 100
= $1100
Amount that Wendy had at first
= 1200 + 1100
= $2300
Answer(s): $2300