Henry bought 30 more stamps than Luke and Luke bought 13 stamps more than Glen. The total number of stamps Henry and Luke bought was 4 times the number of stamps Glen bought.
- How many stamps does Henry need to give Luke so that they have the same number of stamps?
- How many stamps did all three of them have altogether?
(a)
Since Henry had 30 stamps more than Luke, Henry needed to give half of his extra stamps to Luke.
Number of stamps that Henry needs to give to Luke
= 30 ÷ 2
= 15
(b)
Number of stamps that Glen bought = 1 u
Number of stamps that Luke bought = 1 u + 13
Number of stamps that Henry bought
= 1 u + 13 + 30
= 1 u + 43
Number of stamps that Luke and Henry bought
= 1 u + 13 + 1 u + 43
= 2 u + 56
Total number of stamps that Henry and Luke bought is 4 times the number that Glen bought.
Number of stamps that Luke and Henry bought = 4 u
4 u = 2 u + 56
4 u - 2 u = 56
2 u = 56
1 u = 56 ÷ 2 = 28
Total number of stamps
= 4 u + 1 u
= 5 u
= 5 x 28
= 140
Answer(s): (a) 15; (b) 140
