PSLE Caden had a total of 442 short and long rulers. After selling an equal number of both types, he had
16 of the short rulers and
34 of the long ones left. What was the total number of rulers sold?
Fraction of the short rulers sold
= 1 -
16 =
56 Fraction of the long rulers sold
= 1 -
34 =
14 The number of short rulers and long rulers sold is the same.
Make the numerators the same.
LCM of 5 and 1 = 5
56 Long rulers =
14 Short rulers
5x16x1 Long rulers =
1x54x5 Short rulers
56 Long rulers =
520 Short rulers
|
Long |
Short |
Total |
Before |
6 u |
20 u |
26 u |
Change |
- 5 u |
- 5 u |
- 10 u |
After |
1 u |
15 u |
16 u |
Total number of rulers at first
= 6 u + 20 u
= 26 u
26 u = 442
1 u = 442 ÷ 26 = 17
Total number of rulers sold
= 5 u + 5 u
= 10 u
= 10 x 17
= 170
Answer(s): 170