PSLE Asher had a total of 136 short and long rulers. After selling an equal number of both types, he had
14 of the short rulers and
13 of the long ones left. What was the total number of rulers sold?
Fraction of the short rulers sold
= 1 -
14 =
34 Fraction of the long rulers sold
= 1 -
13 =
23 The number of short rulers and long rulers sold is the same.
Make the numerators the same.
LCM of 3 and 2 = 6
34 Long rulers =
23 Short rulers
3x24x2 Long rulers =
2x33x3 Short rulers
68 Long rulers =
69 Short rulers
|
Long |
Short |
Total |
Before |
8 u |
9 u |
17 u |
Change |
- 6 u |
- 6 u |
- 12 u |
After |
2 u |
3 u |
5 u |
Total number of rulers at first
= 8 u + 9 u
= 17 u
17 u = 136
1 u = 136 ÷ 17 = 8
Total number of rulers sold
= 6 u + 6 u
= 12 u
= 12 x 8
= 96
Answer(s): 96