Valen and John gave away the same number of cards. Valen gave away
35 of his cards while John gave
59 of his cards away. Given that Valen had 14 cards less than John at first, how many cards did Valen have at first?
| |
Valen |
John |
| Before |
5x5 =
25 u |
9x3 =
27 u |
| Change |
- 3x5 =
- 15 u |
- 5x3 =
- 15 u |
| After |
2x5 =
10 u |
4x3 =
12 u |
The number of cards that Valen and John gave away is the same. Make the number of cards that Valen and John gave away the same. LCM of 3 and 5 is 15.
Number of cards that Valen had at first = 25 u
Number of cards that John had at first = 27 u
Number of cards that Valen had less than John at first
= 27 u - 25 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Number of cards that Valen had at first
= 25 u
= 25 x 7
= 175
Answer(s): 175
