Ryan bought 34 more pens than Vaidev and Vaidev bought 15 pens more than Pamela. The total number of pens Ryan and Vaidev bought was 6 times the number of pens Pamela bought.
- How many pens does Ryan need to give Vaidev so that they have the same number of pens?
- How many pens did all three of them have altogether?
Ryan |
Vaidev |
Pamela |
1 u + 15 + 34 |
1 u + 15 |
1 u |
6 u |
1 u |
(a)
Number of pens that Ryan needs to give Vaidev so that they have same number of pens
= 34 ÷ 2
= 17
(b)
Total number of pens that Ryan and Vaidev had
= 1 u + 15 + 34 + 1 u + 15
= 1 u + 1 u + 15 + 34 + 15
= 2 u + 64
6 u = 2 u + 64
6 u - 2 u = 64
4 u = 64
1 u = 64 ÷ 4 = 16
Total number of pens that all three of them had
= 6 u + 1 u
= 7 u
= 7 x 16
= 112
Answer(s): (a) 17; (b) 112