Yen and Tiffany had a total of $390 at first. After Yen spent
35 of her money and Tiffany spent
34 of her money, they had the same amount of money left.
- How much money did Yen have at first?
- Tiffany has the same number of $5-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Yen |
Tiffany |
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 Yen 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 2 is 2.
Total amount that Yen and Tiffany had at first
= 5 u + 8 u
= 13 u
13 u = 390
1 u = 390 ÷ 13 = 30
Amount that Yen had at first
= 5 u
= 5 x 30
= $150
(b)
Amount that Tiffany had at first
= 8 u
= 8 x 30
= $240
Tiffany has the same number of $5-note and $10-note at first.
Value of 1 set of $5-note and $10-note
= 5 + 10
= $15
Number of 5-notes
= 240 ÷ 15
= 16
Answer(s): (a) $150; (b) 16
