Erika and Yen had a total of $900 at first. After Erika spent
14 of her money and Yen spent
12 of her money, they had the same amount of money left.
- How much money did Erika have at first?
- Yen has the same number of $2-notes and $10-notes at first. How many $10-notes did she have at first?
|
Erika |
Yen |
Total |
Before |
4 u |
2x3 = 6 u |
10 u |
Change |
- 1 u |
- 1x3 = - 3 u |
|
After |
3 u |
1x3 = 3 u |
|
(a)
The amount that Erika and Yen 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 Erika and Yen had at first
= 4 u + 6 u
= 10 u
10 u = 900
1 u = 900 ÷ 10 = 90
Amount that Erika had at first
= 4 u
= 4 x 90
= $360
(b)
Amount that Yen had at first
= 6 u
= 6 x 90
= $540
Yen 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
= 540 ÷ 12
= 45
Answer(s): (a) $360; (b) 45