Gwen and Jen had a total of $540 at first. After Gwen spent
35 of her money and Jen spent
12 of her money, they had the same amount of money left.
- How much money did Gwen have at first?
- Jen has the same number of $10-notes and $5-notes at first. How many $5-notes did she have at first?
| |
Gwen |
Jen |
Total |
Before |
5 u |
2x2 =
4 u |
9 u |
Change |
- 3 u |
- 1x2 =
- 2 u |
|
After |
2 u |
1x2 =
2 u |
|
(a)
The amount that Gwen and Jen 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 Gwen and Jen had at first
= 5 u + 4 u
= 9 u
9 u = 540
1 u = 540 ÷ 9 = 60
Amount that Gwen had at first
= 5 u
= 5 x 60
= $300
(b)
Amount that Jen had at first
= 4 u
= 4 x 60
= $240
Jen 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
= 240 ÷ 15
= 16
Answer(s): (a) $300; (b) 16
