Tammy and Esther had a total of $1100 at first. After Tammy spent
35 of her money and Esther spent
23 of her money, they had the same amount of money left.
- How much money did Tammy have at first?
- Esther has the same number of $10-notes and $5-notes at first. How many $5-notes did she have at first?
| |
Tammy |
Esther |
Total |
Before |
5 u |
3x2 =
6 u |
11 u |
Change |
- 3 u |
- 2x2 =
- 4 u |
|
After |
2 u |
1x2 =
2 u |
|
(a)
The amount that Tammy and Esther 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 Tammy and Esther had at first
= 5 u + 6 u
= 11 u
11 u = 1100
1 u = 1100 ÷ 11 = 100
Amount that Tammy had at first
= 5 u
= 5 x 100
= $500
(b)
Amount that Esther had at first
= 6 u
= 6 x 100
= $600
Esther 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
= 600 ÷ 15
= 40
Answer(s): (a) $500; (b) 40
