Paul bought 56 more pens than Tim and Tim bought 16 pens more than Xandra. The total number of pens Paul and Tim bought was 6 times the number of pens Xandra bought.
- How many pens does Paul need to give Tim so that they have the same number of pens?
- How many pens did all three of them have altogether?
Paul |
Tim |
Xandra |
1 u + 16 + 56 |
1 u + 16 |
1 u |
6 u |
1 u |
(a)
Number of pens that Paul needs to give Tim so that they have same number of pens
= 56 ÷ 2
= 28
(b)
Total number of pens that Paul and Tim had
= 1 u + 16 + 56 + 1 u + 16
= 1 u + 1 u + 16 + 56 + 16
= 2 u + 88
6 u = 2 u + 88
6 u - 2 u = 88
4 u = 88
1 u = 88 ÷ 4 = 22
Total number of pens that all three of them had
= 6 u + 1 u
= 7 u
= 7 x 22
= 154
Answer(s): (a) 28; (b) 154