Tommy has 70% as many marbles as Henry. If Tommy gives away 20% of the marbles and Henry gives away 50% of his marbles, they will have 265 marbles altogether. How many marbles do the two of them have?
|
Tommy |
Henry |
Total |
Comparing Tommy and Henry at first |
7x5 = 35 u |
10x5 = 50 u |
|
Before |
5x7 = 35 u |
2x25 = 50 u |
|
Change |
- 1x7 = - 7 u |
- 1x25 = - 25 u |
|
After |
4x7 = 28 u |
1x25 = 25 u |
265 |
70% =
70100 =
710 20% =
20100 =
15 50% =
50100 =
12 The number of marbles that Tommy has at first is repeated. Make the number of marbles that Tommy has the same. LCM of 7 and 5 is 35 u.
The number of marbles that Henry has at first is repeated. Make the number of marbles that Henry has the same. LCM of 10 and 2 is 50 u.
Number of marbles in the end
= 28 u + 25 u
= 53 u
53 u = 265
1 u = 265 ÷ 53 = 5
Total number of marbles that the two of them have
= 35 u + 50 u
= 85 u
= 85 x 5
= 425
Answer(s): 425