Yen and Elyse had a total of $390 at first. After Yen spent
15 of her money and Elyse spent
12 of her money, they had the same amount of money left.
- How much money did Yen have at first?
- Elyse has the same number of $10-notes and $2-notes at first. How many $2-notes did she have at first?
|
Yen |
Elyse |
Total |
Before |
5 u |
2x4 = 8 u |
13 u |
Change |
- 1 u |
- 1x4 = - 4 u |
|
After |
4 u |
1x4 = 4 u |
|
(a)
The amount that Yen and Elyse had in the end is the same. Make the amount that they each had in the end the same. LCM of 1 and 4 is 4.
Total amount that Yen and Elyse had at first
= 5 u + 8 u
= 13 u
13 u = 390
1 u = 390 ÷ 13 = 30
Amount that Yen had at first
= 5 u
= 5 x 30
= $150
(b)
Amount that Elyse had at first
= 8 u
= 8 x 30
= $240
Elyse 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
= 240 ÷ 12
= 20
Answer(s): (a) $150; (b) 20