PSLE Owen had a total of 494 long and short erasers. After selling an equal number of both types, he had
34 of the long erasers and
16 of the short ones left. What was the total number of erasers sold?
Fraction of the long erasers sold
= 1 -
34 =
14 Fraction of the short erasers sold
= 1 -
16 =
56 The number of long erasers and short erasers sold is the same.
Make the numerators the same.
LCM of 1 and 5 = 5
14 Long erasers =
56 Short erasers
1x54x5 Long erasers =
5x16x1 Short erasers
520 Long erasers =
56 Short erasers
|
Long |
Short |
Total |
Before |
20 u |
6 u |
26 u |
Change |
- 5 u |
- 5 u |
- 10 u |
After |
15 u |
1 u |
16 u |
Total number of erasers at first
= 20 u + 6 u
= 26 u
26 u = 494
1 u = 494 ÷ 26 = 19
Total number of erasers sold
= 5 u + 5 u
= 10 u
= 10 x 19
= 190
Answer(s): 190