Glen, Tom and Justin bought some scones. After Glen ate
35 of his scones, Tom ate
23 of his scones and Justin ate 9 scones, each of them had the same number of scones left. Glen had 2 less scones than Tom at first.
- How many scones did Glen have at first?
- How many scones did the 3 of them buy altogether?
| |
Glen |
Tom |
Justin |
Before |
5 u |
3x2 =
6 u |
2 u + 9 |
Change |
- 3 u |
- 2x2 =
- 4 u |
- 9 |
After |
2 u |
1x2 =
2 u |
2 u |
(a)
The number of scones that Glen and Tom each had in the end is the same. Make the number of scones that Glen and Tom each had in the end the same. LCM of 2 and 1 is 2.
Number of scones that Glen had less than Tom at first
= 6 u - 5 u
= 1 u
1 u = 2
1 u = 2 ÷ 1 = 2
Number of scones that Glen had at first
= 5 u
= 5 x 2
= 10
(b)
Total number of scones that the 3 of them bought
= 5 u + 6 u + 2 u + 9
= 13 u + 9
= 13 x 2 + 9
= 26 + 9
= 35
Answer(s): (a) 10; (b) 35
