Japheth bought 48 more pens than Eric and Eric bought 10 pens more than Tammy. The total number of pens Japheth and Eric bought was 6 times the number of pens Tammy bought.
- How many pens does Japheth need to give Eric so that they have the same number of pens?
- How many pens did all three of them have altogether?
Japheth |
Eric |
Tammy |
1 u + 10 + 48 |
1 u + 10 |
1 u |
6 u |
1 u |
(a)
Number of pens that Japheth needs to give Eric so that they have same number of pens
= 48 ÷ 2
= 24
(b)
Total number of pens that Japheth and Eric had
= 1 u + 10 + 48 + 1 u + 10
= 1 u + 1 u + 10 + 48 + 10
= 2 u + 68
6 u = 2 u + 68
6 u - 2 u = 68
4 u = 68
1 u = 68 ÷ 4 = 17
Total number of pens that all three of them had
= 6 u + 1 u
= 7 u
= 7 x 17
= 119
Answer(s): (a) 24; (b) 119