Eric bought 36 more pens than Harry and Harry bought 17 pens more than Betty. The total number of pens Eric and Harry bought was 4 times the number of pens Betty bought.
- How many pens does Eric need to give Harry so that they have the same number of pens?
- How many pens did all three of them have altogether?
Eric |
Harry |
Betty |
1 u + 17 + 36 |
1 u + 17 |
1 u |
4 u |
1 u |
(a)
Number of pens that Eric needs to give Harry so that they have same number of pens
= 36 ÷ 2
= 18
(b)
Total number of pens that Eric and Harry had
= 1 u + 17 + 36 + 1 u + 17
= 1 u + 1 u + 17 + 36 + 17
= 2 u + 70
4 u = 2 u + 70
4 u - 2 u = 70
2 u = 70
1 u = 70 ÷ 2 = 35
Total number of pens that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 35
= 175
Answer(s): (a) 18; (b) 175