Ahmad bought 48 more pens than Asher and Asher bought 14 pens more than Vanessa. The total number of pens Ahmad and Asher bought was 6 times the number of pens Vanessa bought.
- How many pens does Ahmad need to give Asher so that they have the same number of pens?
- How many pens did all three of them have altogether?
Ahmad |
Asher |
Vanessa |
1 u + 14 + 48 |
1 u + 14 |
1 u |
6 u |
1 u |
(a)
Number of pens that Ahmad needs to give Asher so that they have same number of pens
= 48 ÷ 2
= 24
(b)
Total number of pens that Ahmad and Asher had
= 1 u + 14 + 48 + 1 u + 14
= 1 u + 1 u + 14 + 48 + 14
= 2 u + 76
6 u = 2 u + 76
6 u - 2 u = 76
4 u = 76
1 u = 76 ÷ 4 = 19
Total number of pens that all three of them had
= 6 u + 1 u
= 7 u
= 7 x 19
= 133
Answer(s): (a) 24; (b) 133