Sabrina and Kylie had a total of $910 at first. After Sabrina spent
35 of her money and Kylie spent
34 of her money, they had the same amount of money left.
- How much money did Sabrina have at first?
- Kylie has the same number of $2-notes and $5-notes at first. How many $5-notes did she have at first?
|
Sabrina |
Kylie |
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 Sabrina and Kylie 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 Sabrina and Kylie had at first
= 5 u + 8 u
= 13 u
13 u = 910
1 u = 910 ÷ 13 = 70
Amount that Sabrina had at first
= 5 u
= 5 x 70
= $350
(b)
Amount that Kylie had at first
= 8 u
= 8 x 70
= $560
Kylie has the same number of $2-note and $5-note at first.
Value of 1 set of $2-note and $5-note
= 2 + 5
= $7
Number of 2-notes
= 560 ÷ 7
= 80
Answer(s): (a) $350; (b) 80