Jenson has 10% as many marbles as Flynn. If Jenson gives away 20% of the marbles and Flynn gives away 50% of his marbles, they will have 348 marbles altogether. How many marbles do the two of them have?
|
Jenson |
Flynn |
Total |
Comparing Jenson and Flynn at first |
1x5 = 5 u |
10x5 = 50 u |
|
Before |
5x1 = 5 u |
2x25 = 50 u |
|
Change |
- 1x1 = - 1 u |
- 1x25 = - 25 u |
|
After |
4x1 = 4 u |
1x25 = 25 u |
348 |
10% =
10100 =
110 20% =
20100 =
15 50% =
50100 =
12 The number of marbles that Jenson has at first is repeated. Make the number of marbles that Jenson has the same. LCM of 1 and 5 is 5 u.
The number of marbles that Flynn has at first is repeated. Make the number of marbles that Flynn has the same. LCM of 10 and 2 is 50 u.
Number of marbles in the end
= 4 u + 25 u
= 29 u
29 u = 348
1 u = 348 ÷ 29 = 12
Total number of marbles that the two of them have
= 5 u + 50 u
= 55 u
= 55 x 12
= 660
Answer(s): 660