Jean and Tiffany had a total of $1400 at first. After Jean spent
25 of her money and Tiffany spent
23 of her money, they had the same amount of money left.
- How much money did Jean have at first?
- Tiffany has the same number of $2-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Jean |
Tiffany |
Total |
Before |
5 u |
3x3 =
9 u |
14 u |
Change |
- 2 u |
- 2x3 =
- 6 u |
|
After |
3 u |
1x3 =
3 u |
|
(a)
The amount that Jean and Tiffany had in the end is the same. Make the amount that they each had in the end the same. LCM of 1 and 3 is 3.
Total amount that Jean and Tiffany had at first
= 5 u + 9 u
= 14 u
14 u = 1400
1 u = 1400 ÷ 14 = 100
Amount that Jean had at first
= 5 u
= 5 x 100
= $500
(b)
Amount that Tiffany had at first
= 9 u
= 9 x 100
= $900
Tiffany 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
= 900 ÷ 12
= 75
Answer(s): (a) $500; (b) 75
