George bought 34 more pens than Valen and Valen bought 11 pens more than Tina. The total number of pens George and Valen bought was 4 times the number of pens Tina bought.
- How many pens does George need to give Valen so that they have the same number of pens?
- How many pens did all three of them have altogether?
George |
Valen |
Tina |
1 u + 11 + 34 |
1 u + 11 |
1 u |
4 u |
1 u |
(a)
Number of pens that George needs to give Valen so that they have same number of pens
= 34 ÷ 2
= 17
(b)
Total number of pens that George and Valen had
= 1 u + 11 + 34 + 1 u + 11
= 1 u + 1 u + 11 + 34 + 11
= 2 u + 56
4 u = 2 u + 56
4 u - 2 u = 56
2 u = 56
1 u = 56 ÷ 2 = 28
Total number of pens that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 28
= 140
Answer(s): (a) 17; (b) 140