Fabian and Tom had the same number of marbles. Fabian gave away
34 of his marbles while Tom gave away
35 of his marbles. Given that Fabian gave away 12 marbles more than Tom, how many marbles did Fabian have at first?
| |
Fabian's marbles |
Tom's marbles |
| Before |
4x5 =
20 u |
5x4 =
20 u |
| Change |
- 3x5 =
- 15 u |
- 3x4 =
- 12 u |
| After |
1x5 =
5 u |
2x4 =
8 u |
The number of cards that Fabian and Tom each had at first is the same. Make the number of cards that Fabian and Tom each had at first the same. LCM of 4 and 5 is 20.
Number of marbles that Fabian gave away more than Tom
= 15 u - 12 u
= 3 u
3 u = 12
1 u = 12 ÷ 3 = 4
Number of marbles that Fabian had at first
= 20 u
= 20 x 4
= 80
Answer(s): 80
