Penelope and Gem had a total of $1000 at first. After Penelope spent
14 of her money and Gem spent
12 of her money, they had the same amount of money left.
- How much money did Penelope have at first?
- Gem has the same number of $2-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Penelope |
Gem |
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 Penelope and Gem 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 Penelope and Gem had at first
= 4 u + 6 u
= 10 u
10 u = 1000
1 u = 1000 ÷ 10 = 100
Amount that Penelope had at first
= 4 u
= 4 x 100
= $400
(b)
Amount that Gem had at first
= 6 u
= 6 x 100
= $600
Gem 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
= 600 ÷ 12
= 50
Answer(s): (a) $400; (b) 50
