Gem, Esther, Will and Fanny shared some pens. Gem and Esther took
16 of the total number of pens while Will and Fanny took the rest. Esther had thrice as many pens as Gem and Fanny had 96 pens. Given that Fanny had four times as many pens as Esther, how many pens were there altogether?
Gem |
Esther |
Will |
Fanny |
Total |
1x4 |
5x4 |
6x4 |
1 |
3 |
|
|
|
|
1x3 |
|
4x3 |
|
1 u |
3 u |
8 u |
12 u |
24 u |
Number of pens that Esther had is repeated. Make the number of pens that Esther had the same. LCM of 3 and 1 is 3.
Number of pens that Fanny had = 12 u
12 u = 96
1 u = 96 ÷ 12 = 8
Total number of pens
= 24 u
= 24 x 8
= 192
Answer(s): 192