Mary has 25% as many pens as Usha. Usha has 130% as many pens as Nora. If Usha gives 42 pens to Nora, both will then have an equal number of pens. Find the average number of pens the three of them have.
Mary |
Usha |
Nora |
1x13 |
4x13 |
|
|
13x4 |
10x4 |
13 u |
52 u |
40 u |
25% =
25100 =
14130% =
130100=
1310The number of pens that Mary has is repeated. Make the number of pens that Mary has the same. LCM of 4 and 13 is 52.
|
Usha |
Nora |
Total |
Before |
52 u |
40 u |
92 u |
Change |
- 6 u |
+ 6 u |
|
After |
46 u |
46 u |
92 u |
Total number of pens that Usha and Nora have
= 52 u + 40 u
= 92 u
After Usha gives to Nora, both of them will have the same number of pens.
The total number of pens that Usha and Nora have remains unchanged.
Number of pens that each of them will have
= 92 u ÷ 2
= 46 u
Number of pens that Usha gives to Nora
= 52 u - 46 u
= 6 u
6 u = 42
1 u = 42 ÷ 6 = 7
Total number of pens that three of them have
= 92 u + 13 u
= 105 u
Average number of pens that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 7
= 245
Answer(s): 245