Tiffany and Nora had a total of $1100 at first. After Tiffany spent
35 of her money and Nora spent
23 of her money, they had the same amount of money left.
- How much money did Tiffany have at first?
- Nora has the same number of $2-notes and $10-notes at first. How many $10-notes did she have at first?
|
Tiffany |
Nora |
Total |
Before |
5 u |
3x2 = 6 u |
11 u |
Change |
- 3 u |
- 2x2 = - 4 u |
|
After |
2 u |
1x2 = 2 u |
|
(a)
The amount that Tiffany and Nora 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 Tiffany and Nora had at first
= 5 u + 6 u
= 11 u
11 u = 1100
1 u = 1100 ÷ 11 = 100
Amount that Tiffany had at first
= 5 u
= 5 x 100
= $500
(b)
Amount that Nora had at first
= 6 u
= 6 x 100
= $600
Nora 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
= 600 ÷ 12
= 50
Answer(s): (a) $500; (b) 50