Perry, Zeph and Xavier had 240 pens. After Perry used 19 pens and Zeph used
37 of her pens, Perry had four times as many pens left as Zeph. Xavier bought another 27 pens, he had twice the number of pens Zeph had left. How many pens did Xavier have at first?
| |
Perry |
Zeph |
Xavier |
Total |
| Before |
16 u + 19 |
7 u |
8 u - 27 |
240 |
| Change |
- 19 |
- 3 u |
+ 27 |
|
| After |
16 u |
4 u |
8 u |
|
Comparing Perry
and Zeph in the end |
4 |
1 |
|
|
Comparing Xavier
and Zeph in the end |
|
1 |
2 |
|
Number of pens that Perry had in the end
= 4 x 4 u
= 16 u
Number of pens that Xavier had in the end
= 2 x 4 u
= 8 u
Total number of pens at first
= 16 u + 19 + 7 u + 8 u - 27
= 31 u - 8
31 u - 8 = 240
31 u = 240 + 8
31 u = 248
1 u = 248 ÷ 31 = 8
Number of pens that Xavier had at first
= 8 u - 27
= 8 x 8 - 27
= 64 - 27
= 37
Answer(s): 37
