Emily and Erika had a total of $660 at first. After Emily spent
13 of her money and Erika spent
34 of her money, they had the same amount of money left.
- How much money did Emily have at first?
- Erika has the same number of $10-notes and $5-notes at first. How many $5-notes did she have at first?
| |
Emily |
Erika |
Total |
Before |
3 u |
4x2 =
8 u |
11 u |
Change |
- 1 u |
- 3x2 =
- 6 u |
|
After |
2 u |
1x2 =
2 u |
|
(a)
The amount that Emily and Erika 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 Emily and Erika had at first
= 3 u + 8 u
= 11 u
11 u = 660
1 u = 660 ÷ 11 = 60
Amount that Emily had at first
= 3 u
= 3 x 60
= $180
(b)
Amount that Erika had at first
= 8 u
= 8 x 60
= $480
Erika has the same number of $10-note and $5-note at first.
Value of 1 set of $10-note and $5-note
= 10 + 5
= $15
Number of 10-notes
= 480 ÷ 15
= 32
Answer(s): (a) $180; (b) 32
