PSLE Zane had a total of 460 short and long erasers. After selling an equal number of both types, he had
35 of the short erasers and
14 of the long ones left. What was the total number of erasers sold?
Fraction of the short erasers sold
= 1 -
35 =
25 Fraction of the long erasers sold
= 1 -
14 =
34 The number of short erasers and long erasers sold is the same.
Make the numerators the same.
LCM of 2 and 3 = 6
25 Long erasers =
34 Short erasers
2x35x3 Long erasers =
3x24x2 Short erasers
615 Long erasers =
68 Short erasers
|
Long |
Short |
Total |
Before |
15 u |
8 u |
23 u |
Change |
- 6 u |
- 6 u |
- 12 u |
After |
9 u |
2 u |
11 u |
Total number of erasers at first
= 15 u + 8 u
= 23 u
23 u = 460
1 u = 460 ÷ 23 = 20
Total number of erasers sold
= 6 u + 6 u
= 12 u
= 12 x 20
= 240
Answer(s): 240