Nora and Anna had a total of $780 at first. After Nora spent
35 of her money and Anna spent
34 of her money, they had the same amount of money left.
- How much money did Nora have at first?
- Anna has the same number of $2-notes and $10-notes at first. How many $10-notes did she have at first?
|
Nora |
Anna |
Total |
Before |
5 u |
4x2 = 8 u |
13 u |
Change |
- 3 u |
- 3x2 = - 6 u |
|
After |
2 u |
1x2 = 2 u |
|
(a)
The amount that Nora and Anna had in the end is the same. Make the amount that they each had in the end the same. LCM of 1 and 2 is 2.
Total amount that Nora and Anna had at first
= 5 u + 8 u
= 13 u
13 u = 780
1 u = 780 ÷ 13 = 60
Amount that Nora had at first
= 5 u
= 5 x 60
= $300
(b)
Amount that Anna had at first
= 8 u
= 8 x 60
= $480
Anna has the same number of $2-note and $10-note at first.
Value of 1 set of $2-note and $10-note
= 2 + 10
= $12
Number of 2-notes
= 480 ÷ 12
= 40
Answer(s): (a) $300; (b) 40