Erika and Nicole had a total of $540 at first. After Erika spent
35 of her money and Nicole spent
12 of her money, they had the same amount of money left.
- How much money did Erika have at first?
- Nicole has the same number of $2-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Erika |
Nicole |
Total |
Before |
5 u |
2x2 =
4 u |
9 u |
Change |
- 3 u |
- 1x2 =
- 2 u |
|
After |
2 u |
1x2 =
2 u |
|
(a)
The amount that Erika and Nicole 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 Erika and Nicole had at first
= 5 u + 4 u
= 9 u
9 u = 540
1 u = 540 ÷ 9 = 60
Amount that Erika had at first
= 5 u
= 5 x 60
= $300
(b)
Amount that Nicole had at first
= 4 u
= 4 x 60
= $240
Nicole 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
= 240 ÷ 12
= 20
Answer(s): (a) $300; (b) 20
