Winnie had a total of 84 pieces of $50 and $20 notes at first. She spent
37 of the number of $50 notes and received another 4 pieces of $20 notes from her mother. After that, the number of $20 notes she had was
12 of the remaining notes. How much money did Winnie have at first?
|
$50 |
$20 |
Total |
Before |
7 u |
4 u - 4 |
84 |
Change |
- 3 u |
+ 4 |
|
After |
4 u |
|
|
Comparing $50-notes and $20-notes |
1x4 = 4 u |
1x4 = 4 u |
|
The number of $50-notes and $20-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 4 is 4.
Number of notes at first
= 7 u + 4 u - 4
= 11 u - 4
11 u - 4 = 84
11 u = 84 + 4
11 u = 88
1 u = 88 ÷ 11 = 8
Number of $50-notes at first
= 7 u
= 7 x 8
= 56
Total value of $50-notes at first
= 56 x 50
= $2800
Number of $20-notes at first
= 4 u - 4
= 4 x 8 - 4
= 32 - 4
= 28
Total value of $20-notes at first
= 28 x 20
= $560
Amount that Winnie had at first
= 2800 + 560
= $3360
Answer(s): $3360