Abi and Sarah had a total of $1300 at first. After Abi spent
14 of her money and Sarah spent
23 of her money, they had the same amount of money left.
- How much money did Abi have at first?
- Sarah has the same number of $10-notes and $2-notes at first. How many $2-notes did she have at first?
| |
Abi |
Sarah |
Total |
Before |
4 u |
3x3 =
9 u |
13 u |
Change |
- 1 u |
- 2x3 =
- 6 u |
|
After |
3 u |
1x3 =
3 u |
|
(a)
The amount that Abi and Sarah 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 Abi and Sarah had at first
= 4 u + 9 u
= 13 u
13 u = 1300
1 u = 1300 ÷ 13 = 100
Amount that Abi had at first
= 4 u
= 4 x 100
= $400
(b)
Amount that Sarah had at first
= 9 u
= 9 x 100
= $900
Sarah 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
= 900 ÷ 12
= 75
Answer(s): (a) $400; (b) 75
