Cole bought 34 more pens than Fabian and Fabian bought 17 pens more than Xandra. The total number of pens Cole and Fabian bought was 6 times the number of pens Xandra bought.
- How many pens does Cole need to give Fabian so that they have the same number of pens?
- How many pens did all three of them have altogether?
Cole |
Fabian |
Xandra |
1 u + 17 + 34 |
1 u + 17 |
1 u |
6 u |
1 u |
(a)
Number of pens that Cole needs to give Fabian so that they have same number of pens
= 34 ÷ 2
= 17
(b)
Total number of pens that Cole and Fabian had
= 1 u + 17 + 34 + 1 u + 17
= 1 u + 1 u + 17 + 34 + 17
= 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) 17; (b) 119