Rael bought 76 more stamps than Japheth and Japheth bought 28 stamps more than Xuan. The total number of stamps Rael and Japheth bought was 6 times the number of stamps Xuan bought.
- How many stamps does Rael need to give Japheth so that they have the same number of stamps?
- How many stamps did all three of them have altogether?
Rael |
Japheth |
Xuan |
1 u + 28 + 76 |
1 u + 28 |
1 u |
6 u |
1 u |
(a)
Number of stamps that Rael needs to give Japheth so that they have same number of stamps
= 76 ÷ 2
= 38
(b)
Total number of stamps that Rael and Japheth had
= 1 u + 28 + 76 + 1 u + 28
= 1 u + 1 u + 28 + 76 + 28
= 2 u + 132
6 u = 2 u + 132
6 u - 2 u = 132
4 u = 132
1 u = 132 ÷ 4 = 33
Total number of stamps that all three of them had
= 6 u + 1 u
= 7 u
= 7 x 33
= 231
Answer(s): (a) 38; (b) 231