Esther had 32 more pens than Xylia. After Xylia gave away
47 of her pens, Esther had five times as many pens as Xylia. How many pens did Xylia have at first?
| |
Esther |
Xylia |
Comparing Esther and
Xylia at first |
32 more |
|
| Before |
15 u |
7 u |
| Change |
|
- 4 u |
| After |
15 u |
3 u |
Comparing Esther and
Xylia in the end |
5x3 =
15 u |
1x3 =
3 u |
Number of pens that Xylia had in the end is repeated. Make the number of pens that Xylia had in the end the same. LCM of 1 and 3 is 3.
Number of pens that Esther had at first = 15 u
Number of pens that Esther had more than Xylia at first
= 15 u - 7 u
= 8 u
8 u = 32
1 u = 32 ÷ 8 = 4
Number of pens that Xylia had at first
= 7 u
= 7 x 4
= 28
Answer(s): 28
