Victoria had some $50-notes and some $2-notes.
712 of the-notes were $50-notes and the rest were $2-notes. After Victoria had spent $1440 worth of $2-notes and
67 of $50-notes, she had
311 of the notes left. Find the number of $50-notes Victoria had left.
| |
$50-notes |
$2-notes |
Total |
Comparing $50-notes
and $2-notes
at first |
7x11 =
77 u |
5x11 =
55 u |
12x11 =
132 u |
| Before |
7x11 =
77 u |
|
11x12 =
132 u |
| Change |
- 6x11 =
- 66 u |
- 720 |
- 8x12 =
- 96 u |
| After |
1x11=
11 u |
55 u - 720 |
3x12 =
36 u |
The total number of notes at first is the repeated. Make the total number of notes the same. LCM of 12 and 11 is 132.
The number of $50-notes is repeated.
Number of $2-notes
= 1440 ÷ 2
= 720
Total number of notes spent = 66 u + 720
66 u + 720 = 96 u
96 u - 66 u = 720
30 u = 720
1 u = 720 ÷ 30 = 24
Number of $50-notes that Victoria had left
= 11 u
= 11 x 24
= 264
Answer(s): 264
