Ethan bought 32 more marbles than Sean and Sean bought 23 marbles more than Emily. The total number of marbles Ethan and Sean bought was 5 times the number of marbles Emily bought.
- How many marbles does Ethan need to give Sean so that they have the same number of marbles?
- How many marbles did all three of them have altogether?
Ethan |
Sean |
Emily |
1 u + 23 + 32 |
1 u + 23 |
1 u |
5 u |
1 u |
(a)
Number of marbles that Ethan needs to give Sean so that they have same number of marbles
= 32 ÷ 2
= 16
(b)
Total number of marbles that Ethan and Sean had
= 1 u + 23 + 32 + 1 u + 23
= 1 u + 1 u + 23 + 32 + 23
= 2 u + 78
5 u = 2 u + 78
5 u - 2 u = 78
3 u = 78
1 u = 78 ÷ 3 = 26
Total number of marbles that all three of them had
= 5 u + 1 u
= 6 u
= 6 x 26
= 156
Answer(s): (a) 16; (b) 156