Abi and Penelope had a total of $1170 at first. After Abi spent
35 of her money and Penelope spent
34 of her money, they had the same amount of money left.
- How much money did Abi have at first?
- Penelope has the same number of $10-notes and $2-notes at first. How many $2-notes did she have at first?
|
Abi |
Penelope |
Total |
Before |
5 u |
4x2 = 8 u |
13 u |
Change |
- 3 u |
- 3x2 = - 6 u |
|
After |
2 u |
1x2 = 2 u |
|
(a)
The amount that Abi and Penelope 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 Abi and Penelope had at first
= 5 u + 8 u
= 13 u
13 u = 1170
1 u = 1170 ÷ 13 = 90
Amount that Abi had at first
= 5 u
= 5 x 90
= $450
(b)
Amount that Penelope had at first
= 8 u
= 8 x 90
= $720
Penelope has the same number of $10-note and $2-note at first.
Value of 1 set of $10-note and $2-note
= 10 + 2
= $12
Number of 10-notes
= 720 ÷ 12
= 60
Answer(s): (a) $450; (b) 60