Japheth bought 62 more marbles than Cole and Cole bought 21 marbles more than Penelope. The total number of marbles Japheth and Cole bought was 6 times the number of marbles Penelope bought.
- How many marbles does Japheth need to give Cole so that they have the same number of marbles?
- How many marbles did all three of them have altogether?
Japheth |
Cole |
Penelope |
1 u + 21 + 62 |
1 u + 21 |
1 u |
6 u |
1 u |
(a)
Number of marbles that Japheth needs to give Cole so that they have same number of marbles
= 62 ÷ 2
= 31
(b)
Total number of marbles that Japheth and Cole had
= 1 u + 21 + 62 + 1 u + 21
= 1 u + 1 u + 21 + 62 + 21
= 2 u + 104
6 u = 2 u + 104
6 u - 2 u = 104
4 u = 104
1 u = 104 ÷ 4 = 26
Total number of marbles that all three of them had
= 6 u + 1 u
= 7 u
= 7 x 26
= 182
Answer(s): (a) 31; (b) 182