Jeremy, Will and Brandon had 294 cards. After Jeremy used 33 cards and Will used
18 of her cards, Jeremy had four times as many cards left as Will. Brandon bought another 39 cards, he had twice the number of cards Will had left. How many cards did Brandon have at first?
| |
Jeremy |
Will |
Brandon |
Total |
| Before |
28 u + 33 |
8 u |
14 u - 39 |
294 |
| Change |
- 33 |
- 1 u |
+ 39 |
|
| After |
28 u |
7 u |
14 u |
|
Comparing Jeremy
and Will in the end |
4 |
1 |
|
|
Comparing Brandon
and Will in the end |
|
1 |
2 |
|
Number of cards that Jeremy had in the end
= 4 x 7 u
= 28 u
Number of cards that Brandon had in the end
= 2 x 7 u
= 14 u
Total number of cards at first
= 28 u + 33 + 8 u + 14 u - 39
= 50 u - 6
50 u - 6 = 294
50 u = 294 + 6
50 u = 300
1 u = 300 ÷ 50 = 6
Number of cards that Brandon had at first
= 14 u - 39
= 14 x 6 - 39
= 84 - 39
= 45
Answer(s): 45
