PSLE Jenson had a total of 120 long and short erasers. After selling an equal number of both types, he had
12 of the long erasers and
14 of the short ones left. What was the total number of erasers sold?
Fraction of the long erasers sold
= 1 -
12 =
12 Fraction of the short erasers sold
= 1 -
14 =
34 The number of long erasers and short erasers sold is the same.
Make the numerators the same.
LCM of 1 and 3 = 3
12 Long erasers =
34 Short erasers
1x32x3 Long erasers =
3x14x1 Short erasers
36 Long erasers =
34 Short erasers
|
Long |
Short |
Total |
Before |
6 u |
4 u |
10 u |
Change |
- 3 u |
- 3 u |
- 6 u |
After |
3 u |
1 u |
4 u |
Total number of erasers at first
= 6 u + 4 u
= 10 u
10 u = 120
1 u = 120 ÷ 10 = 12
Total number of erasers sold
= 3 u + 3 u
= 6 u
= 6 x 12
= 72
Answer(s): 72