Tim bought 40 more pens than Howard and Howard bought 13 pens more than Wendy. The total number of pens Tim and Howard bought was 4 times the number of pens Wendy bought.
- How many pens does Tim need to give Howard so that they have the same number of pens?
- How many pens did all three of them have altogether?
Tim |
Howard |
Wendy |
1 u + 13 + 40 |
1 u + 13 |
1 u |
4 u |
1 u |
(a)
Number of pens that Tim needs to give Howard so that they have same number of pens
= 40 ÷ 2
= 20
(b)
Total number of pens that Tim and Howard had
= 1 u + 13 + 40 + 1 u + 13
= 1 u + 1 u + 13 + 40 + 13
= 2 u + 66
4 u = 2 u + 66
4 u - 2 u = 66
2 u = 66
1 u = 66 ÷ 2 = 33
Total number of pens that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 33
= 165
Answer(s): (a) 20; (b) 165