PSLE Paul had a total of 176 short and long rulers. After selling an equal number of both types, he had
34 of the short rulers and
13 of the long ones left. What was the total number of rulers left?
Fraction of the short rulers sold
= 1 -
34 =
14 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 1 and 2 = 2
14 Long rulers =
23 Short rulers
1x24x2 Long rulers =
2x13x1 Short rulers
28 Long rulers =
23 Short rulers
|
Long |
Short |
Total |
Before |
8 u |
3 u |
11 u |
Change |
- 2 u |
- 2 u |
- 4 u |
After |
6 u |
1 u |
7 u |
Total number of rulers at first
= 8 u + 3 u
= 11 u
11 u = 176
1 u = 176 ÷ 11 = 16
Total number of rulers left
= 6 u + 1 u
= 7 u
= 7 x 16
= 112
Answer(s): 112