Paul bought 42 more pens than Cody and Cody bought 17 pens more than Vanessa. The total number of pens Paul and Cody bought was 6 times the number of pens Vanessa bought.
- How many pens does Paul need to give Cody so that they have the same number of pens?
- How many pens did all three of them have altogether?
Paul |
Cody |
Vanessa |
1 u + 17 + 42 |
1 u + 17 |
1 u |
6 u |
1 u |
(a)
Number of pens that Paul needs to give Cody so that they have same number of pens
= 42 ÷ 2
= 21
(b)
Total number of pens that Paul and Cody had
= 1 u + 17 + 42 + 1 u + 17
= 1 u + 1 u + 17 + 42 + 17
= 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) 21; (b) 133